** LIST OF CITATIONS of publications by Goulnara N. ARZHANTSEVA **

** more then 873 citations in total, ** excluding self-citations.

** Last update: July 2 ^{nd}, 2021 **

** Papers already published or accepted:**

Summary and comments to my list of publications

[55] G.N. Arzhantseva, M. Hagen, * Acylindrical hyperbolicity of cubical small-cancellation groups*,

Algebraic & Geometric Topology (2021), in press. pdf

** 2 citations by **

A. Genevois, A. Stocker, * Partially CAT(−1) groups are acylindrically hyperbolic*, Bull. Soc. Math. France 147 (2019), no. 3, 377–394.

D. Gruber, A. Sisto, * Infinitely presented graphical small cancellation groups are acylindrically hyperbolic*, Ann. Inst. Fourier (Grenoble), 68 (2018), no. 6, 2501–2552.

[54] G.N. Arzhantseva, S. Gal, * On approximation properties of semidirect products of groups*,

Annales mathematiques Blaise Pascal, 27(1) (2020), 125-130. pdf

** 5 citations by **

F. Berlai, * Residual properties of free products*, Comm. Algebra 44 (2016), no. 7, 2959-2980.

A. Bhattacharya, M. Brannan, A. Chirvasitu, S. Wang,* Property (T), property (F) and residual finiteness for discrete quantum groups*, J. Noncommut. Geom. 14 (2020), no. 2, 567-589.

L. Bowen, P. Burton, * Locally compact sofic groups*, (2021), arXiv:2106:09118.

M. Doucha, J. Gismatullin, * On Dual surjunctivity and applications*, (2020), arXiv:2008:10565.

D. F. Holt, S. Rees, * Some closure results for C-approximable groups*, Pacific J. Math. 287 (2017), no. 2, 393-409.

[53] G.N. Arzhantseva, F. Berlai, M. Finn-Sell, L. Glebsky, * Unrestricted wreath products and sofic groups*,

International Journal of Algebra and Computation, 29(02) (2019), 343-355. pdf

** 4 citations by **

L. Bowen, P. Burton, * Locally compact sofic groups*, (2021), arXiv:2106:09118.

J. Brude, R. Sasyk, * Permanence properties of verbal products and verbal wreath products of groups*, (2019), arXiv:1909.07800.

J. Brude, R. Sasyk, * Metric approximations of unrestricted wreath products when the acting group is amenable*, (2020), arXiv:2004.05735.

R. Ji, C. Ogle, B. Ramsey, * Relative amenability and relative soficity*, (2018), arXiv:1807.07600

[52] G.N. Arzhantseva, Ch. Cashen, * Cogrowth for group actions with strongly contracting elements*,

Ergodic Theory and Dynamical Systems, 40(7) (2020), 1738-1754. pdf

** 2 citations by **

I. Gekhtman, A. Levit, * Critical exponents of invariant random subgroups in negative curvature*, Geom. Funct. Anal. 29 (2019), no. 2, 411-439.

K. Matsuzaki, Y. Yabuki, J. Jaerisch, * Normalizer, divergence type, and Patterson measure for discrete groups of the Gromov hyperbolic space*, Groups Geom. Dyn. 14 (2020), no. 2, 369-411.

[51] G.N. Arzhantseva, L. Paunescu, * Constraint metric approximations and equations in groups*,

Journal of Algebra, 516 (2018), 329-351. pdf

** 2 citations by **

F. Fournier-Facio, * Ultrametric analogues of Ulam stability of groups *, (2021), arXiv:2105.00516

A. Ioana, * Stability for product groups and property (τ)*, J. Algebra 516 (2018), J. Funct. Anal. 279 (2020), no. 9, 108729, 32 pp.

[50] G.N. Arzhantseva, C. Drutu, * Geometry of infinitely presented small cancellation groups and quasi-homomorphisms*,

Canadian Journal of Mathematics, 71(5) (2019), 997-1018. pdf

** 5 citations by **

M. Bradenbursky, Ś. Gal, J. Kędra, M. Marcinkowski, * The cancellation norm and the geometry of bi-invariant word metrics*, Glasg. Math. J. 58 (2016), no. 1, 153–176.

I. Chatterji, * Introduction to the rapid decay property*, Around Langlands correspondences, 53-72, Contemp. Math., 691, Amer. Math. Soc., Providence, RI, 2017.

D. Gruber, A. Sisto, * Infinitely presented graphical small cancellation groups are acylindrically hyperbolic*, Ann. Inst. Fourier (Grenoble) 68 (2018), no. 6, 2501-2552.

A. Martin, * Complexes of groups and geometric small cancelation over graphs of groups*, Bull. Soc. Math. France 145 (2017), no. 2, 193-223.

M. Sapir, * The rapid decay property and centroids in groups*, J. Topol. Anal. 7 (2015), no. 3, 513–541.

[49] G.N. Arzhantseva, Ch. Cashen, D. Gruber, D. Hume, * Negative curvature in graphical small cancellation groups*,

Groups, Geometry and Dynamics, 13(2) (2019), 579-632. pdf

** 12 citations by **

T. Aougab, M. G. Durham, S. J. Taylor, * Pulling back stability with applications to Out(Fn) and relatively hyperbolic groups*, J. Lond. Math. Soc. (2) 96 (2017), no. 3, 565-583.

Ch. Cashen, * Morse subsets of CAT(0) spaces are strongly contracting*, Geom. Dedicata 204 (2020), 311–314.

Ch. Cashen, J. Mackay, * A metrizable topology on the contracting boundary of a group* Trans. Amer. Math. Soc. 372 (2019), no. 3, 1555–1600.

M. Cordes, D. Hume, * Stability and the Morse boundary* J. Lond. Math. Soc. (2) 95 (2017), no. 3, 963–988.

R. Coulon, D. Gruber, * Small cancellation theory over Burnside groups*, Adv. Math. 353 (2019), 722–775.

I. Gekhtman, W. Yang, * Counting conjugacy classes in groups with contracting elements *, (2018), arXiv:1810.02969.

D. Gruber, A. Sisto, * Infinitely presented graphical small cancellation groups are acylindrically hyperbolic* Ann. Inst. Fourier (Grenoble) 68 (2018), no. 6, 2501–2552.

S. Han, * Relative Hyperbolicity of graphical small cancellation groups *, (2020), arXiv:2010.13528.

D. Hume, A. Sisto, * Groups with no coarse embeddings into hyperbolic groups* New York J. Math. 23 (2017), 1657–1670.

M. Incenerti-Medici, * Comparing topologies on the Morse boundary and quasi-isometry invariance*, Geom. Dedicata 212 (2021), 153-176.

W. Yang, * Statistically convex-cocompact actions of groups with contracting elements*, Int. Math. Res. Not. IMRN 2019, no. 23, 7259-7323.

W. Yang, * Genericity of contracting elements in groups*, Math. Ann. 376 (2020), no. 3-4, 823-861.

[48] G.N. Arzhantseva, R. Tessera, * Admitting a coarse embedding is not preserved under group extensions*,

International Mathematics Research Notices, 2019 (20) (2019), 6480-6498. pdf

** 8 citations by **

B. Braga, , Y. C. Chung, and K. Li, * Coarse Baum-Connes conjecture and rigidity for Roe algebras*, Journal of Functional Analysis 279 (2020), no. 9, 108728.

C. Bönicke, C. Dell’Aiera, * Going-down functors and the Künneth formula for crossed products by étale groupoids*, Transactions of the American Mathematical Society, 372 (2019), no. 11, 8159-8194.

K. Boucher, * On non-amenable embeddable spaces in relation with free products*, (2018), arXiv:1801.04889.

T. Delabie, A. Khukhro, * Box spaces of the free group that neither contain expanders nor embed into a Hilbert space*. Advances in Mathematics 336 (2018), 70-96.

J. Deng, * The Novikov conjecture and extensions of coarsely embeddable groups*, (2019), arXiv:1910.05381.

J. Deng, Q. Wang, G. Yu, * The coarse Baum-Connes conjecture for certain extensions and relative expanders*, (2021), arXiv:2102.10617.

G. Li, X. Wang, * Remarks on strong embeddability for discrete metric spaces and groups*, arXiv:1709.02522.

K. Li, J. Špakula, J. Zhang, * Measured asymptotic expanders and rigidity for Roe algebras*, (2020), arXiv:2010.10749.

[47] G.N. Arzhantseva, G.A. Niblo, N. Wright, J. Zhang, * A characterization for asymptotic dimension growth*,

Algebraic & Geometric Topology, 18 (2018), 493-524. pdf

** 4 citations by **

T. Davila, * Decomposition complexity growth of finitely generated groups*, (2019), arXiv:1902.08561.

T. Davila, * Infinite-dimensional coarse geometry of groups and spaces*, PhD thesis, 2020, University of Florida.

E. Fioravanti, * Superrigidity of actions on finite rank median spaces*, Adv. Math. 352 (2019), 1206–1252.

J. Wang, Z. Xie, G. Yu, * Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension*, (2021), arXiv:2101.11584.

[46] G.N. Arzhantseva, Ch. Cashen, D. Gruber, D. Hume, * Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction*,

Documenta Mathematica, 22 (2017), 1193-1224. pdf

** 29 citations by **

C. Abbott, J. Behrstock, M. G. Durham, * Largest acylindrical actions and Stability in hierarchically hyperbolic groups*, Trans. Amer. Math. Soc. Ser. B 8 (2021), 66-104.

T. Aougab, M. G. Durham, S. J. Taylor, * Pulling back stability with applications to Out(Fn) and relatively hyperbolic groups* J. Lond. Math. Soc. (2) 96 (2017), no. 3, 565-583.

A. Bartels, M. Bestvina, * The Farrell-Jones conjecture for mapping class groups*, Invent. Math. 215 (2019), no. 2, 651-712.

J. Beyrer, E. Fioravanti, * Cross ratios and cubulations of hyperbolic groups*, (2018), arXiv:1810.08087.

N. Brady, H. C. Tran, * Divergence of finitely presented groups*, (2020), arXiv:2002.03653.

N. Brady, H. C. Tran, * Divergence of finitely presented subgroups of CAT(0) groups*, (2020), arXiv:2012.15803.

Ch. Cashen, * Quasi-isometries need not induce homeomorphisms of contracting boundaries with the Gromov product topology* Anal. Geom. Metr. Spaces 4 (2016), no. 1, 278–281.

Ch. Cashen, * Morse subsets of CAT(0) spaces are strongly contracting* Geom. Dedicata 204 (2020), 311–314.

Ch. Cashen, J. Mackay, * A metrizable topology on the contracting boundary of a group* Trans. Amer. Math. Soc. 372 (2019), no. 3, 1555–1600.

M. Cordes, * A survey on Morse boundaries & stability*, (2017), arXiv:1704.07598.

M. Cordes, D. Hume, * Stability and the Morse boundary* J. Lond. Math. Soc. (2) 95 (2017), no. 3, 963–988.

C. Druţu, S. Mozes, M. Sapir, * Corrigendum to "Divergence in lattices in semisimple Lie groups and graphs of groups''*, Trans. Amer. Math. Soc. 370 (2018), no. 1, 749-754.

E. Fink, * Morse geodesics in torsion groups*, (2017), arXiv:1710.11191.

E. Fioravanti, * Cross ratios on cube complexes and length-spectrum rigidity*, PhD thesis, 2019, University of Oxford.

M. Incenerti-Medici, * Comparing topologies on the Morse boundary and quasi-isometry invariance*, Geom. Dedicata 212 (2021), 153-176.

M. Hagen, * Large facing tuples and a strengthened sector lemma*, (2020), arXiv:2005.09536.

L. Huang, B. Kleiner, S. Stadler, * Morse quasiflats I*, (2019), arXiv:1911.04656.

H. Kim, * Stable subgroups and Morse subgroups in mapping class groups*, Internat. J. Algebra Comput. 29 (2019), no. 5, 893-903.

S. C. Mousley, J. Russell, * Hierarchically hyperbolic groups are determined by their Morse boundaries*, (2018), arXiv:1801.04867.

D. Murray, Y. Qing, A. Zalloum, * Sublinearly Morse geodesics in CAT(0) spaces: Lower divergence and hyperplane characterization*, (2020), arXiv:2008.09199.

A. Pal, R. Pandey, * Acylindrical hyperbolicity of subgroups*, New York J. Math. 26 (2020), 1213-1231.

A. Pal, R. Pandey, * Contracting boundary of a cusped space*, (2020), arXiv:2012.08259.

A. Pal, S. Paul, * Strongly contracting geodesics in a tree of spaces*, (2019), arXiv:1904.09906.

Y. Qing, K. Rafi, G. Tiozzo, * Sublinearly Morse boundary I: CAT(0) spaces*, (2020), arXiv:1909.02096.

Y. Qing, K. Rafi, G. Tiozzo, * Sublinearly Morse boundary II: Proper geodesic spaces*, (2020), arXiv:2011.03481.

Y. Qing, A. Zalloum, * Rank one isometries in sublinearly morse boundaries of CAT(0) groups*, (2019), arXiv:1911.03296.

J. Russell, D. Spriano, H.C. Tran, * Convexity in hierarchically hyperbolic spaces*, (2018), arXiv:1809.09303.

J. Russell, D. Spriano, H.C. Tran, * The local-to-global property for Morse quasi-geodesics*, (2019), arXiv:1908.11292.

H. C. Tran, * On strongly quasiconvex subgroups*, Geom. Topol. 23 (2019), no. 3, 1173-1235.

[45] G.N. Arzhantseva, L. Paunescu, * Linear sofic groups and algebras*,

Transactions of the American Mathematical Society, 369 (2017), 2285-2310. pdf

** 28 citations by **

A. Anderson, M. Lupini, *The Fraïssé limit of matrix algebras with the rank metric*, (2017), arXiv:1712.04431.

J. Brude, R. Sasyk, * Permanence properties of verbal products and verbal wreath products of groups*, (2019), arXiv:1909.07800.

J. Brude, R. Sasyk, * Metric approximations of unrestricted wreath products when the acting group is amenable*, (2020), arXiv:2004.05735.

V. Capraro, M. Lupini, * Introduction to sofic and hyperlinear groups and Connes' embedding conjecture*, Lecture Notes in Mathematics 2136, Springer 2015.

T. Ceccherini-Silberstein, M. Coornaert, * On sofic monoids *, Semigroup Forum 89 (2014), no. 3, 546–570.

M. de Chiffre, * Approximate representations of groups*, PhD thesis, 2018, Technischen Universität Dresden.

M. Doucha, * Metric topological groups: their metric approximation and metric ultraproducts*, Groups Geom. Dyn. 12 (2018), no. 2, 615-636.

G. Elek, * Convergence and limits of linear representations of finite groups*, J. Algebra 450 (2016), 588-615.

G. Elek, * Infinite dimensional representations of finite dimensional algebras and amenability*, (2015), arXiv:1512.03959.

G. Elek, L. Grabowski, * Almost commuting matrices with respect to the rank metric *, (2017), arXiv:1708.05338

F. Fournier-Facio, * Ultrametric analogues of Ulam stability of groups*, (2021), arXiv:2105.00516.

L. Glebsky, * Approximations of groups, characterizations of sofic groups, and equations over groups*, J. Algebra 477 (2017), 147-162.

M. Gromov, * Number of questions*, 2014, http://www.ihes.fr/~gromov/PDF/Problems-marc6-11-2014.pdf

M. Gromov, *Morse spectra, homology measures, spaces of cycles and parametric packing problems*, Ann. of Math. Stud. 205 (2020), 141-205.

B. Hayes, A. W. Sale, * Metric approximations of wreath products*, Ann. Inst. Fourier (Grenoble) 68 (2018), no. 1, 423-455.

D. F. Holt, S. Rees, * Some closure results for C-approximable groups*, (2016), arXiv:1601.01836

A. Ivanov, * Sofic metric groups and continuous logic*, (2016), arXiv:1604.08446

A. Ivanov, * Metric ultraproducts of finite groups with respect to some length functions*, (2014), arXiv:1401.0857

A. Ivanov, * Soficity and hyperlinearity for metric groups*, Topology Appl. 235 (2018), 146-156.

A. Korchagin, * MF-property for countable discrete groups*, (2017), arXiv:1704.06906.

M. Lupini, * An invitation to model theory and C*-algebras*, Bull. Symb. Log. 25 (2019), no. 1, 34-100.

N. Nikolov, J. Schneider, A. Thom, * Some remarks on finitarily approximable groups*, J. Éc. polytech. Math. 5 (2018), 239-258.

L. M. Rivera, N. M. Veyna García, * Aproximación métrica de grupos: una breve perspectiva*, (2017), arXiv:1709.01202

J. Schneider, * On ultraproducts of compact quasisimple groups*, PhD thesis, 2021, Universität Leipzig.

A. Stolz, * Linear approximation of groups and ultraproducts of compact simple groups*, PhD thesis, 2013, Universität Leipzig.

A. Stolz, * Properties of linearily sofic groups*, (2013), arXiv:1309.7830.

A. Thom, * Finitary approximations of groups and their applications*, Proceedings of the ICM (2018).

S. Virili, * A point-free approach to L-Surjunctivity and stable finiteness*, (2014), arXiv:1410.164.

S. Virili, * Group representations, algebraic dynamics and torsion theories*, PhD thesis, 2014, Universitat Autònoma de Barcelona.

[44] G.N. Arzhantseva, Ch. Cashen, J. Tao, * Growth tight actions*,

Pacific Journal of Mathematics, 278(1) (2015), 1-49. pdf

** 23 citations by **

A. Broise-Alamichel, J. Parkkonen, F. Paulin, * Equidistribution and counting under equilibrium states in negative curvature and trees*, Applications to non-Archimedean Diophantine approximation. Progress in Mathematics, 329, Birkhäuser/Springer, 2019.

C. Cashen, J. Tao, * Growth tight actions of product groups,* Groups Geom. Dyn. 10 (2016), no. 2, 753-770.

M. Cordes, J.Russell, D. Spriano, A. Zalloum, * Regularity of Morse geodesics and growth of stable subgroups*, (2020), arXiv:2008.06379.

R. Coulon, R. Dougall, B. Schapria, S. Tapie,* Twisted Patterson-Sullivan measures and applications to amenability and coverings*, (2018), arXiv:1809.10881.

F. Dahmani, D. Futer, D. T. Wise, * Growth of quasiconvex subgroups*, Math. Proc. Cambridge Philos. Soc. 167 (2019), no. 3, 505-530.

S. Das, M. Mj, * Controlled Floyd separation and non relatively hyperbolic groups*, J. Ramanujan Math. Soc. 30 (2015), no. 3, 267-294.

I. Gekhtman, S. J. Taylor, G. Tiozzo, * Counting problems in graph products and relatively hyperbolic groups*, Israel J. Math. 237 (2020), no. 1, 311-371.

I. Gekhtman, W. Yang, * Counting conjugacy classes in groups with contracting elements *, (2018), arXiv:1810.02969.

S. Gouëzel, C. Noûs, B. Schapira, S. Tapie, * Pressure at infinity and strong positive recurrence in negativecurvature*, (2020), arXiv:2007.08816v2.

J. Han, * Growth of pseudo-anosov conjugacy classes in Teichmüller space*, (2021), arXiv:2105.08640.

J. Han, * Growth rate of dehn twist lattice points in Teichmüller space*, (2021), arXiv:2105.08624.

S. Han, W. Yang, * Generic free subgroups and statistical hyperbolicity*, (2018), arXiv:1812.06265.

Z. He, J. Liu, W. Yang, * Large quotients of group actions with a contracting element*, (2020), arXiv:2007.15825.

I. Kapovic, J. Maher, C. Pfaff, S.J. Taylor, * Random outer automorphisms of free groups: Attracting trees and their singularity structures*, (2018), arXiv:1805.12382.

K. Matsuzaki, * Growth and cogrowth tightnessof Kleinian and hyperbolic groups*, RIMS Kôkyûroku Bessatsu B66 (2017), 21-36.

M. Mj, P. Roy, * Stable random fields, Bowen-Margulis measures and extremal cocycle growth*, (2018), arXiv:1809.08295v1.

Y. Qing, K. Rafi, G. Tiozzo, * Sublinearly Morse boundary II: Proper geodesic spaces*, (2020), arXiv:2011.03481.

K. Rafi, Y. Verberne, * Geodesics in the mapping class group*, (2018), arXiv:1810.12489.

J. Russell, D. Spriano, H.C. Tran, * The local-to-global property for Morse quasi-geodesics*, (2019), arXiv:1908.11292.

Y. Verberne, * Pseudo-Anosov homeomorphisms constructed using poitive Dehn twists*, PhD thesis, 2020, University of Toronto.

B. Wiest, * Garside groups and geometry*, (2020), arXiv:2008.08802.

W. Yang, * Statistically convex-cocompact actions of groups with contracting elements*, Int. Math. Res. Not. IMRN 2019, no. 23, 7259-7323.

W. Yang, * Genericity of contracting elements in groups*, Math. Ann. 376 (2020), no. 3-4, 823-861.

[43] G.N. Arzhantseva, L. Paunescu, * Almost commuting permutations are near commuting permutations*,

Journal of Functional Analysis, 269(3) (2015), 745-757. pdf

** 34 citations by **

S. Atkinson, * Some results on tracial stability and graph products*, (2018), arXiv:1808.04664.

S. Atkinson, S. Elayavalli, * On ultraproduct embeddings and amenability for tracial von Neumann algebras*, International Mathematics Research Notices (2021), no. 4, 2882-2918.

O. Becker, M. Chapman, * Stability of approximate group actions: uniform and probabilistic*, (2020), arXiv:2005.06652.

O. Becker, A. Lubotzky, * Group stability and Property (T)*, J. Funct. Anal. 278 (2020), no. 1, 108298, 20 pp.

O. Becker, A. Lubotzky, J. Mosheiff, * Testability of relations between permutations*, (2020), arXiv:2011.05234.

O. Becker, A. Lubotzky, A. Thom, * Stability and invariant random subgroups*, Duke Math. J. 168 (2019), no. 12, 2207-2234.

O. Becker, J. Mosheiff, * Abelian groups are polynomially stable*, International Mathematics Research Notices (2020), 59pp.

L. Bowen, P. Burton, * Flexible stability and nonsoficity*, Trans. Amer. Math. Soc. 373 (2020), no. 6, 4469-4481.

V. Capraro, M. Lupini, * Introduction to sofic and hyperlinear groups and Connes' embedding conjecture*, Lecture Notes in Mathematics 2136, Springer 2015.

M. Cavaleri, * Algorithms and quantifications in amenable and sofic groups*, PhD thesis, Universita degli studi di Roma La Sapienza (2016).

M. Cavaleri, R. Munteanu, L. Paunescu, * Two special subgroups of the universal sofic group*, Ergodic Theory Dynam. Systems 39 (2019), no. 12, 3250-3261.

M. De Chiffre, * Approximate representations of groups*, PhD thesis, Technische Universität Dresden (2019).

M. De Chiffre, L. Glebsky, A. Lubotzky, A. Thom, * Stability, cohomology vanishing, and non-approximable groups*, Forum Math. Sigma 8 (2020), Paper No. e18, 37 pp.

S. Eilers, T. Shulman, A. Sørensen, * C*-stability of discrete groups*, Adv. Math. 373 (2020), 107324, 41 pp.

G. Elek, Ł. Grabowski, *Almost commuting matrices with respect to the rank metric*, (2021), arXiv:1708.05338v3.

D. Enders, T. Shulman, * Almost commuting matrices, cohomology, and dimension*, (2019), arXiv:1902.10451.

F. Fournier-Facio, * Ultrametric analogues of Ulam stability of groups*, (2021), arXiv:2105.00516.

M. A. García Morales, L. Glebsky, * Property of defect diminishing and stability*, (2019), arXiv:1911.11752v2.

D. Hadwin, T. Shulman, * Stability of group relations under small Hilbert-Schmidt perturbations*, J. Funct. Anal. 275 (2018), no. 4, 761–792.

D. Hadwin, T. Shulman, * Variations of projectivity for C*-algebras*, Pacific J. Math. 301 (2019), no. 2, 421-440.

H. Helfgott, K. Juschenko, * Soficity, short cycles, and the Higman group*, Trans. Amer. Math. Soc. 371 (2019), no. 4, 2771–2795.

A. Ioana, * Stability for product groups and property (τ)*, J. Funct. Anal. 279 (2020), no. 9, 108729, 32 pp.

A. Ioana, * On sofic approximations of F2×F2*, Ergodic Theory and Dynamical Systems (2021), 1-19.

M. Kassabov, V. Kuperberg, T. Riley, * Soficity and variations on Higman’s group*, J. Comb. Algebra 3 (1) (2019), 41–70.

J. König, A. Leitner, D. Neftin, * Almost-regular dessins d'enfant on a torus and sphere*, Topology Appl. 243 (2018), 78–99.

N. Lazarovich, A. Levit, Y. Minsky, * Surface groups are flexibly stable*, (2019), arXiv:1901.07182.

A. Levit, A. Lubotzky, * Infinitely presented stable groups and invariant random subgroups of metabelian groups*, Ergodic Theory and Dynamical Systems (2021), 1-36.

A. Levit, A. Lubotzky, * Uncountably many permutation stable groups*, (2019), arXiv:1910.11722v1.

A. Lubotzky, I. Oppenheim,* Non p-norm approximated groups*, J. Anal. Math. 141 (2020), no. 1, 305-321.

M. Lupini, * An invitation to model theory and C*-algebras*, Bull. Symb. Log. 25 (2019), no. 1, 34–100.

R. Moreno, L.M. Rivera, * Blocks in cycles and k-commuting permutations*, SpringerPlus (2016) 5: 1949.

L. Oppenheim, * Garland's method with Banach coefficients*, (2020), arXiv:2009.01234.

L. Paunescu, F. Radulescu, * A generalisation to Birkhoff-von Neumann theorem*, Adv. Math. 308 (2017), 836-858.

L. M. Rivera, * Integer sequences and k-commuting permutations*, Integers 15 (2015), Paper No. A46, 22 pp.

[42] G.N. Arzhantseva, D. Osajda, * Infinitely presented small cancellation groups have Haagerup property*,

Journal of Topology and Analysis, 7(3) (2015), 389-406. pdf

** 12 citations by **

V. Alekseev, M. Finn-Sell, * Sofic boundaries of groups and coarse geometry of sofic approximations*, Groups Geom. Dyn. 13 (2019), no. 1, 191-234.

P. Baum, E. Guentner, R. Willett, * Exactness and the Kadison-Kaplansky conjecture*, Operator algebras and their applications, 1-33, Contemp. Math., 671, Amer. Math. Soc., Providence, RI, 2016.

Y. Cornulier, * Group actions with commensurated subsets, wallings and cubings*, (2013), arXiv:1302.5982v2.

M. Finn-Sell, * Almost quasi-isometries and more non-exact groups*, Math. Proc. Cambridge Philos. Soc. 162 (2017), no. 3, 393-403.

F. Fournier-Facio, * Ultrametric analogues of Ulam stability of groups*, (2021), arXiv:2105.00516.

D. Gruber, * Infinitely presented C(6)-groups are SQ-universal*, J. Lond. Math. Soc. (2) 92 (2015), no. 1, 178-201.

D. Gruber, A. Sisto, * Infinitely presented graphical small cancellation groups are acylindrically hyperbolic*, Ann. Inst. Fourier (Grenoble) 68 (2018), no. 6, 2501-2552.

S. Knudby, * On connected Lie groups and the approximation property*, C. R. Math. Acad. Sci. Paris 354 (2016), no. 7, 697-699.

A. Martin, * Complexes of groups and geometric small cancellation over graphs of groups*, Bull. Soc. Math. France 145 (2017), no. 2, 193-223.

M. Mimura, * Amenability versus non-exactness of dense subgroups of a compact group.* J. Lond. Math. Soc. (2) 100 (2019), no. 2, 592-622.

M. Mimura, H. Sako, * Group approximation in Cayley topology and coarse geometry, Part II: Fibred coarse embeddings*, Anal. Geom. Metr. Spaces 7 (2019), no. 1, 62-108.

D. Osajda, * Small cancellation labellings of some infinite graphs and applications*, Acta Math. 225 (2020), no. 1, 159-191.

[41] G.N. Arzhantseva, R. Tessera, * Relative expanders*,

Geometric and Functional Analysis [GAFA], 25(2) (2015), 317-341. pdf

** 17 citations by **

P. Awasthi, M. Charikar, R. Krishnaswamy, and A. K. Sinop, * Spectral Embedding of k-Cliques, Graph Partitioning and k-Means*, In Proceedings of the 2016 ACM Conference on Innovations in Theoretical Computer Science (ITCS '16). Association for Computing Machinery, New York, NY, USA, 301–310.

C. Cave, * On coarse geometric properties of discrete andlocally compact groups*, PhD thesis, 2015, University of Southampton.

K. Das, * From the geometry of box spaces to the geometry and measured couplings of groups*, J. Topol. Anal. 10 (2018), no. 2, 401-420.

T. Delabie, * Large scale geometry of box spaces*, PhD thesis, 2018, Université de Neuchâtel.

T. Delabie, A. Khukhro, * Box spaces of the free group that neither contain expanders nor embed into a Hilbert space*, Adv. Math. 336 (2018), 70-96.

J. Deng, Q. Wang, G. Yu, * The coarse Baum-Connes conjecture for certain extensions and relative expanders*, (2021), arXiv:2102.10617.

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A. Ol'shanskii, D. Osin, * C*-simple groups without free subgroups*, Groups Geom. Dyn. 8 (2014), no. 3, 933–983.

A. Ol'shanskii, D. Osin, M. Sapir, * Lacunary hyperbolic groups*, Geom. Topol. 13 (2009), no. 4, 2051-2140.

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D. Osin, * Small cancellations over relatively hyperbolic groups and embedding theorems*, Annals of Mathematics, 172 (2010), 1-39.

D. Osin, * On the universal theory of torsion and lacunary hyperbolic groups*, (2009), arXiv:0903.3978.

D. Osin, A. Thom, * Normal generation and ℓ2-Betti numbers of groups*, Math. Ann. 355 (2013), no. 4, 1331–1347.

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A. Penland, * Nearly maximal Hausdorff dimension in finitely constrained groups*, (2017), arXiv:1710.05261.

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V.S. Atabekyan, * The set of 2-generated C*-simple relatively free groups has the cardinality of the continuum*, Proceedings of the Yerevan State University, Physical and Mathematical Sciences (2020),54(2), p. 81–86.

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D. Kahrobaei, * On the residual solvability of generalized free products of finitely generated nilpotent groups*, Comm. Algebra 39 (2011), no. 2, 647–656.

D. Kahrobaei, A. F. Douglas, K. Bencsáth, * Some residually solvable one-relator groups*, (2013), arXiv:1310.5241.

D. Kahrobaei, S. Majewicz, * On the residual solvability of generalized free products of solvable groups*, Discrete Math. Theor. Comput. Sci. 13 (2011), no. 4, 45–50.

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O. Siegenthaler, A. Zugadi-Reizabal, * The equations satisfied by GGS-groups and the abelian group structure of the Gupta-Sidki group*, European J. Combin. 33 (2012), no. 7, 1672–1690.

O. Siegenthaler, * Discrete and profinite groups acting on regular rooted trees*, PhD thesis, Georg-August-Universität Göttingen, 2009, http://webdoc.sub.gwdg.de/diss/2010/siegenthaler/siegenthaler.pdf.

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T. Austin, A. Naor, Y. Peres, * The wreath product of Z with Z has Hilbert compression exponent 2/3*, Proc. Amer. Math. Soc. 137 (2009), no. 1, 85-90.

T. Austin, * Amenable groups with very poor compression into Lebesgue spaces*, Duke Math. J. 159 (2011), no. 2, 187–222.

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J. Brieussel, T. Zheng, * Speed of random walks, isoperimetry and compression of finitely generated groups*, Ann. of Math. (2) 193 (2021), no. 1, 1–105.

N. Brodskiy, D. Sonkin, * Compression of uniform embeddings into Hilbert space*, Topology Appl. 155 (2008), no. 7, 725-732.

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A. Genevois, * Hyperplanes of Squier's cube complexes*, Algebr. Geom. Topol. 18 (2018), no. 6, 3205–3256.

A. Genevois, * Embeddings into Thompson's groups from quasi-median geometry*, Groups Geom. Dyn. 13 (2019), no. 4, 1457–1510.

A. Genevois, * Cubical-like geometry of quasi-median graphs and applications to geometric group theory*, (2017), arXiv:1712.01618.

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R. Gray, A. Malheiro, S. Pride, * On properties not inherited by monoids from their Schützenberger groups*, Inform. and Comput. 209 (2011), no. 7, 1120–1134.

G. Golan, M. Sapir, * On the stabilizers of finite sets of numbers in the R. Thompson group F*, Algebra i Analiz 29 (2017), no. 1, 70–110;

A. Gournay, * The Liouville property and Hilbertian compression*, Ann. Inst. Fourier (Grenoble) 66 (2016), no. 6, 2435–2454.

V. Guba, M. Sapir, * Diagram groups and directed 2-complexes: homotopy and homology*, J. Pure Appl. Algebra 205 (2006), no. 1, 1-47.

V. Guba, M. Sapir, * On the conjugacy growth functions of groups*, Illinois J. Math. 54 (2010), no. 1, 301–313.

U. Haagerup, G. Picioroaga, * New presentations of Thompson's groups and applications*, J. Operator Theory 66 (2011), no. 1, 217–232.

P.-N. Jolissaint, * Embeddings of groups into Banach spaces*, PhD thesis, 2015, University of Neuchatel.

V. Kaimanovich, * Thompson's group F is not Liouville*, Groups, Graphs and Random Walks, London Mathematical Society Lecture Note Series, 300-342, 2017.

E. Kirchberg, A. Sierakowski, * Strong pure infiniteness of crossed products*, Ergodic Theory Dynam. Systems 38 (2018), no. 1, 220–243.

S. Li, * Compression bounds for wreath products*, Proc. Amer. Math. Soc. 138 (2010), no. 8, 2701-2714.

A. Naor, Y. Peres, * Lp compression, traveling salesmen, and stable walks*, Duke Math. J. 157 (2011), no. 1, 53–108.

A. Naor, Y. Peres, * Embeddings of discrete groups and the speed of random walks*, Int. Math. Res. Not. IMRN 2008, Art. ID rnn 076, 34 pp.

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A. Olshanskii, D. Osin, * A quasi-isometric embedding theorem for groups*, Duke Math. J. 162 (2013), no. 9, 1621–1648.

S. Passidis, A. Weston, * Manifestations of non linear roundness in analysis, discrete geometry and topology*, in Limits of graphs in group theory and computer science by G. Arzhantseva, A.Valette (eds.), EPFL press, 2009.

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A. Sale, * Metric behaviour of the Magnus embedding*, Geom. Dedicata 176 (2015), 305–313.

M. Sapir, * Some group theory problems*, Internat. J. Algebra Comput. 17 (2007), no. 5-6, 1189-1214.

Y. Stalder, A. Valette, * Wreath products with the integers, proper actions and Hilbert space compression*, Geom. Dedicata 124 (2007), 199-211.

R. Tessera, * Quantitative property A, Poincaré inequalities, Lp-compression and Lp-distortion for metric measure spaces*, Geom. Dedicata 136 (2008), 203-220.

R. Tessera, * Asymptotic isoperimetry on groups and uniform embeddings into Banach spaces*, Comment. Math. Helv. 86 (2011), no. 3, 499–535.

G. Yu, * Higher index theory of elliptic operators and geometry of groups*, International Congress of Mathematicians. Vol. II, 1623-1639, Eur. Math. Soc., Zürich, 2006.

J. Brieussel, T. Zheng, * Speed of random walks, isoperimetry and compression of finitely generated groups*, (2015), Ann. of Math. (2) 193 (2021), no. 1, 1-105.

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A. Bartels, W. Lück, * The Borel conjecture for hyperbolic and CAT(0)-groups*, Ann. of Math. (2) 175 (2012), no. 2, 631–689.

M. Belolipetsky, * On 2-systoles of hyperbolic 3-manifolds*, Geom. Funct. Anal. 23 (2013), no. 3, 813–827.

R. Coulon, * Asphericity and small cancellation theory for rotation families of groups*, Groups Geom. Dyn. 5 (2011), no. 4, 729–765.

M. Gromov, * Singularities, expanders and topology of maps. I. Homology versus volume in the spaces of cycles*, Geom. Funct. Anal. 19 (2009), no. 3, 743-841.

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I. Kapovich, P. Schupp, * Genericity, the Arzhantseva-Ol'shanskii method and the isomorphism problem for one-relator groups*, Math. Ann. 331 (2005), no. 1, 1-19.

I. Kapovich, R. Weidmann, * Nielsen methods and groups acting on hyperbolic spaces*, Geom. Dedicata 98 (2003), 95-121.

T. Koberda, * Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups*, In the tradition of Ahlfors-Bers. VI, 87–99, Contemp. Math., 590, Amer. Math. Soc., Providence, RI, 2013.

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R. Gilman, A. Myasnikov, V. Roman'kov, * Random equations in nilpotent groups*, J. Algebra 352 (2012), 192–214.

I. Kapovich, P. Schupp, * On group-theoretic models of randomness and genericity*, Groups Geom. Dyn. 2 (2008), no. 3, 383-404.

Y. Kemper, * Problems of enumeration and realizability on matroids, simplicial complexes, and graphs*, (2013), PhD thesis, U Calirfornia Davis.

A. Khukhro, * A characterisation of virtually free groups via minor exclusion*, (2020), arXiv:2006.16918.

J. de Loera, Y. Kemper, * Polyhedral embeddings of Cayley graphs*, Electronic Notes in Discrete Mathematics 43 (2013), 279-288.

A. Myasnikov, V. Remeslennikov, E. Frenkel′, * Free products of groups with amalgamation: stratification of sets of normal forms and estimates*, (Russian) ; translated from Fundam. Prikl. Mat. 16 (2010), no. 8, 189-221 J. Math. Sci. (N.Y.) 185 (2012), no. 2, 300–320.

Y. Ollivier, * A January 2005 invitation to random groups, Ensaios Matemáticos*, 10. Sociedade Brasileira de Matemática, Rio de Janeiro, 2005. ii+100 pp.

Y. Ollivier, * Le Hasard et la Courbur*, Habilitation thesis, 2009, École normale supérieure de Lyon.

Y. Ollivier, * Sharp phase transition theorems for hyperbolicity*, Geom. Funct. Anal. 14 (2004), no. 3, 595—679.

M. Ostrovskii, D. Rosenthal, * Metric dimensions of minor excluded graphs and minor exclusion in groups*, Internat. J. Algebra Comput. 25 (2015), no. 4, 541–554.

O. Varghese, * Planarity of Cayley graphs of graph products of groups*, Discrete Math. 342 (2019), no. 6, 1812–1819.

[24] G.N. Arzhantseva and I.G. Lysenok, * Growth tightness for word hyperbolic groups*,

Mathematische Zeitschrift, 241 (2002), no. 3, 597-611. pdf

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L. Bartholdi, R. Grigorchuk, V. Nekrashevych, * From fractal groups to fractal sets*, Fractals in Graz 2001, 25-118,Trends Math., Birkhäuser, Basel, 2003.

Ch. Cashen, J. Tao, * Growth tight actions of product groups*, Groups Geom. Dyn. 10 (2016), no. 2, 753–770.

S. Cantrell, R. Tanaka, * The Manhattan curve, ergodic theory of topological flows and rigidity*, (2021), arXiv:2104.13451.

T. Ceccherini-Silberstein, F. Scarabotti, * Random walks, entropy and hopfianity of free groups*, Random walks and geometry, 413-419, Walter de Gruyter GmbH & Co. KG, Berlin, 2004.

T. Ceccherini-Silberstein, W. Woess, * Growth and ergodicity of context-free languages*, Trans. Amer. Math. Soc. 354 (2002), no. 11, 4597-4625.

V. Chaynikov, * Actions of maximal growth of hyperbolic groups*, (2012), arXiv:1201.1349.

R. Coulon, * Growth of periodic quotients of hyperbolic groups*, Algebr. Geom. Topol. 13 (2013), no. 6, 3111–3133.

F. Dal’bo, M. Peigné, J.-C. Picaud, A. Sambusetti, * On the growth of quotients of Kleinian groups*, Ergodic Theory Dynam. Systems 31 (2011), no. 3, 835–851.

F. Dahmani, D. Futer, D. T. Wise, * Growth of quasiconvex subgroups*, Math. Proc. Cambridge Philos. Soc. 167 (2019), no. 3, 505–530.

A. Erschler, * Growth rates of small cancellation groups, Random walks and geometry*,421-430, Walter de Gruyter GmbH & Co. KG, Berlin, 2004.

K. Fujiwara, Z. Sela, * The rates of growth in a hyperbolic group*, (2020), arXiv:2002.10278.

I. Gekhtman, S. J. Taylor, G. Tiozzo, * Counting problems in graph products and relatively hyperbolic groups*, Israel J. Math. 237 (2020), no. 1, 311–371.

I. Gekhtman, S. J. Taylor, G. Tiozzo, * Central limit theorems for counting measures in coarse negative curvature*, (2020), arXiv:2004.13084.

S. Gouezel , F. Matheus, F. Maucourant, * Entropy and drift in word hyperbolic groups*, Invent. Math. 211 (2018), no. 3, 1201–1255.

P. de la Harpe, * Uniform growth in groups of exponential growth*, Geom. Dedicata 95 (2002), 1-17.

P. de la Harpe, * Topics in geometric group theory*, Chicago Lectures in Mathematics. University of Chicago Press, Chicago, IL, 2000. vi+310 pp.

Z. He, J. Liu, W. Yang, * Large quotients of group actions with a contracting element*, (2020), arXiv:2007.15825.

W. Huss, E. Sava, W. Woess, * Entropy sensitivity of languages defined by infinite automata, via Markov chains with forbidden transitions*, Theoret. Comput. Sci. 411 (2010), no. 44-46, 3917–3922.

J. Jaerisch, K. Matsuzaki, * Growth and cogrowth of normal subgroups of a free group*, Proc. Amer. Math. Soc. 145 (2017), no. 10, 4141–4149.

K. Matsuzaki, * Growth and cogrowth tightnessof Kleinian and hyperbolic groups*, RIMS Kôkyûroku Bessatsu B66 (2017), 021-036.

B. Mramor, * Minimisers of the Allen-Cahn equation and the asymptotic Plateau problem on hyperbolic groups*, Ann. Inst. H. Poincaré Anal. Non Linéaire 35 (2018), no. 3, 687–711.

Y. Ollivier, * A January 2005 invitation to random groups*, Ensaios Matemáticos, 10. Sociedade Brasileira de Matemática, Rio de Janeiro, 2005. ii+100 pp.

Y. Ollivier, * Growth exponent of generic groups*, Comment. Math. Helv. 81 (2006), no. 3, 569-593.

S. Sabourau, * Growth of quotients of groups acting by isometries on Gromov-hyperbolic spaces*, J. Mod. Dyn. 7 (2013), no. 2, 269–290.

A. Sambusetti, * Asymptotic properties of coverings in negative curvature*, Geom. Topol. 12 (2008), no. 1, 617-637.

A. Sambusetti, * Growth tightness of negatively curved manifolds*, C. R. Math. Acad. Sci. Paris 336 (2003), no. 6, 487-491.

A. Sambusetti, * Growth tightness of surface groups*, Expo. Math. 20 (2002), no. 4, 345-363.

A. Sambusetti, * Growth tightness in group theory and Riemannian geometry*, in "Recent Advances in Geometry and Topology,'' Cluj Univ. Press, Cluj-Napoca, (2004), 341-352.

E. Sava, * Lamplighter random walks and entropy-sensetivity of languages*, PhD thesis, 2010, TU Graz.

A. Talambutsa, * Attainability of the index of exponential growth in free products of cyclic groups*, Math. Notes 78 (2005), no. 3-4, 569-572.

W. Yang, * Growth tightness for groups with contracting elements*, Math. Proc. Cambridge Philos. Soc. 157 (2014), no. 2, 297–319.

W. Yang, * Patterson-Sullivan measures and growth of relatively hyperbolic groups*, Peking Mathematical Journal (2021).

W. Yang, * Growth tightness of groups with nontrivial Floyd boundary*, (2013), arXiv:1301.5623v1.

W. Yang, * Statistically convex-cocompact actions of groups with contracting elements*, (2016), Int. Math. Res. Not. IMRN 2019, no. 23, 7259–7323.

W. Yang, * Purely exponential growth of cusp-uniform actions*, Ergodic Theory Dynam. Systems 39 (2019), no. 3, 795–831.

[23] G.N. Arzhantseva and D.V. Osin, * Solvable groups with polynomial Dehn functions*,

Transactions of the American Mathematical Society, 354 (2002), 3329-3348. pdf

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M. Anshel, D. Kahrobaei, * Decision and search in non-abelian Cramer Shoup public key cryptosystem*, (2013), arXiv:1309.4519.

N. Brady, W. Dison, T. Riley, * Hyperbolic hydra*, Groups Geom. Dyn. 7 (2013), no. 4, 961–976.

N. Broaddus, B. Farb, A. Putman, * Irreducible Sp-representations and subgroup distortion in the mapping class group*, Comment. Math. Helv. 86 (2011), no. 3, 537–556.

M. Cavaleri, * Computability of Folner sets*, (2016), Internat. J. Algebra Comput. 27 (2017), no. 7, 819–830.

S. Cleary, C. Martínez-Pérez, * Undistorted embeddings of metabelian groups of finite Prüfer rank*, New York J. Math. 21 (2015), 1027–1053.

Y. de Cornulier, * Aspects de la géométrie des groupes*, Habilitation thesis, (2014), University of Paris-Sud 11.

Y. de Cornulier, R. Tessera, * Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups*, Confluentes Math. 2 (2010), no. 4, 431–443.

P. Davidson, * Geometric methods in the study of Pride groups and relative presentations*, (2008), PhD thesis, University of Glasgow. http://theses.gla.ac.uk/230/01/2008davidsonphd.pdf.

W. Dison, T.R. Riley, * Hydra groups*, Comment. Math. Helv. 88 (2013), no. 3, 507–540.

C. Drutu, * Filling in solvable groups and in lattices in semisimple groups*, Topology 43 (2004), no. 5, 983-1033.

R. Frigerio, J.-F. Lafont, A. Sisto, * Rigidity of high dimensional graph manifolds*, Astérisque No. 372 (2015), xxi+177 pp.

R. Ji, C. Ogle, B. Ramsey, * B-bounded cohomology and applications.*,Internat. J. Algebra Comput. 23 (2013), no. 1, 147–204.

D. Kahrobaei, M. Anshel, * Decision and search in non-abelian Cramer-Shoup public key cryptosystem*, Groups Complex. Cryptol. 1 (2009), no. 2, 217–225.

M. Kassabov, T. Riley, * The Dehn function of Baumslag's metabelian group*, Geom. Dedicata 158 (2012), 109–119.

E. Leuzinger, Ch. Pittet, * On quadratic Dehn functions*, Math. Z. 248 (2004), no. 4, 725-755.

R. Tessera, * The large-scale geometry of locally compact solvable groups*, Internat. J. Algebra Comput. 26 (2016), no. 2, 249–281.

W. Wang, * Dehn functions of finitely presented metabelian groups*, J. Group Theory, in press.

[22] G.N. Arzhantseva, * On quasiconvex subgroups of word hyperbolic groups*,

Geometriae Dedicata, 87 (2001), 191-208. pdf

** 30 citations by **

C. Abbot, M. Hull, * Random walks and quasi-convexity in acylindrically hyperbolic groups*, (2020), arXiv:1909.10876.

V. Chaynikov, * Actions of maximal growth of hyperbolic groups*, (2012), arXiv:1201.1349.

F. Dahmani, D. Futer, D. T. Wise, * Growth of quasiconvex subgroups*, Math. Proc. Cambridge Philos. Soc. 167 (2019), no. 3, 505–530.

T. Delzant, M. Gromov, * Cuts in Kähler groups, infinite groups: geometric, combinatorial and dynamical aspects*, 31-55, Progr. Math., 248, Birkhäuser, Basel, 2005.

F. Dudkin, K. Sviridov, * Complementing a subgroup of a hyperbolic group by a free factor*, (Russian) ; translated from Algebra Logika 52 (2013), no. 3, 332-351, 395, 398 Algebra Logic 52 (2013), no. 3, 222–235.

B. Farb, L. Mosher, * Convex cocompact subgroups of mapping class groups*, Geom. Topol. 6 (2002), 91-152 (electronic).

S. Friedl, D. Silver, S. Williams, * Splittings of knot groups*, Math. Ann. 362 (2015), no. 1-2, 401–424.

A. Genevois, * Cubical-like geometry of quasi-median graphs and applications to geometric group theory*, (2017), arXiv:1712.01618.

R. Gitik, * On intersection of conjugate subgoups*, Internat. J. Algebra Comput. 27 (2017), no. 4, 403–419.

Y. Glasner, J. Souto, P. Storm, * Normal complements to hyperbolic subgroup*, (2009), preprint. https://www.math.bgu.ac.il/~yairgl/Hyp_qc.pdf.

P. de la Harpe, * Topics in geometric group theory*, Chicago Lectures in Mathematics. University of Chicago Press, Chicago, IL, 2000. vi+310 pp.

S. Hersonsky, F. Paulin, * On the almost sure spiraling of geodesics in negatively curved manifolds*, J. Differential Geom. 85 (2010), no. 2, 271–314.

E. Jabara, * Groups that are the union of a finite number of double cosets*, Rend. Sem. Mat. Univ. Padova 116 (2006), 41-53.

I. Kapovich, R. Weidmann, * Kleinian groups and the rank problem*, Geom. Topol. 9 (2005), 375-402.

I. Kapovich, * The Frattini subgroups of subgroups of hyperbolic groups*, J. Group Theory 6 (2003), no. 1, 115-126.

I. Kapovich, * The non-amenability of Schreier graphs for infinite index quasiconvex subgroups of hyperbolic groups*, Enseign. Math. (2) 48 (2002), no. 3-4, 359-375.

I. Kapovich, * The geometry of relative Cayley graphs for subgroups of hyperbolic groups*, (2002), arXiv:math/0201045.

A. Kar, M. Sageev, * Ping pong on CAT(0) cube complexes*, Comment. Math. Helv. 91 (2016), no. 3, 543–561.

O. Kharlampovich, A. Vdovina, * Linear estimates for solutions of quadratic equations in free groups*, Internat. J. Algebra Comput. 22 (2012), no. 1, 1250004, 16 pp.

O. Kharlampovich, A. Mohajeri, A. Taam, A. Vdovina, * Quadratic Equations in hyperbolic groups are NP-complete*, Trans. Amer. Math. Soc. 369 (2017), no. 9, 6207–6238.

E. Martínez-Pedroza, * Combination of quasiconvex subgroups of relatively hyperbolic groups*, Groups Geom. Dyn. 3 (2009), no. 2, 317-342.

A. Minasyan, * Some properties of subsets of hyperbolic groups*, Comm. Algebra 33 (2005), no. 3, 909-935.

A. Minasyan, * On products of quasiconvex subgroups in hyperbolic groups*, Internat. J. Algebra Comput. 14 (2004), no. 2, 173-195.

A. Minasyan, * On quasiconvex subsets of hyperbolic groups*, (2005), PhD thesis, Vanderbilt University.

M. Ostrovskii, * Metric characterizations of superreflexivity in terms of word hyperbolic groups and finite graphs*, Anal. Geom. Metr. Spaces 2 (2014), no. 1, 154–168.

J. Russell, D. Spriano, H.C. Tran, * Convexity in hierarchically hyperbolic spaces*, (2018), arXiv:1809.09303.

J. Russell, D. Spriano, H.C. Tran, * The local-to-global property for Morse quasi-geodesics*, (2019), arXiv:1908.11292.

A. Vonseel, * Hyperbolicité et bouts des graphes de Schreier*, PhD thesis, 2017, Université de Strasbourg.

D. Wise, * From riches to raags: 3-manifolds, right-angled Artin groups, and cubical geometry*, CBMS Regional Conference Series in Mathematics, 117. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2012. xiv+141 pp.

D. Wise, * The structure of groups with a quasiconvex hierarchy*, Annals of Mathematics Studies 209, Princeton University Press, Princeton, 2021, 376pp.

[21] G.N. Arzhantseva, * A property of subgroups of infinite index in a free group*,

Proceedings of the American Mathematical Society, 128 (11) (2000), 3205-3210. pdf

** 31 citations by **

F. Bassino, A. Martino, C. Nicaud, E. Ventura, P. Weil, * Statistical properties of subgroups of free groups*, Random Structures Algorithms 42 (2013), no. 3, 349–373.

F. Bassino, A. Martino, C. Nicaud, E. Ventura, P. Weil, * On two distributions of subgroups of free groups*, Proceedings of the Seventh Workshop on Analytic Algorithmics and Combinatorics (ANALCO), 82–89, SIAM, Philadelphia, PA, 2010.

F. Bassino, A. Martino, C. Nicaud, P. Weil, * Random presentations and random subgroups: a survey*, (2017), arXiv:1702.01942.

F. Bassino, I. Kapovich, M. Lohrey, A. Miasnikov, C. Nicaud, A. Nikolaev, I. Rivin, V. Shpilrain, A. Ushakov, P. Weil, * Complexity and Randomness in Group Theory: GAGTA book 1*, De Gruyter, 2020, xii+374 pp.

H. Bigdely, * A non-quasiconvex embedding of relatively hyperbolic groups*, (2012), arXiv:1211.2730.

A.V. Borovik, A.G. Myasnikov, V.N. Remeslennikov, * Generic complexity of the conjugacy problem in HNN-extensions and algorithmic stratification of Miller's groups*, Internat. J. Algebra Comput. 17 (2007), no. 5-6, 963-997.

A.V. Borovik, A.G. Myasnikov, V.N. Remeslennikov, * Multiplicative measures on free groups*, Internat. J. Algebra Comput. 13 (2003), no. 6, 705-731.

A. Borovik, A.G. Myasnikov, V. Shpilrain, * Measuring sets in infinite groups, Computational and statistical group theory*, (Las Vegas, NV/Hoboken, NJ, 2001), 21-42, Contemp. Math., 298, Amer. Math. Soc., Providence, RI, 2002.

L. Ciobanu, A. Martino, E. Ventura, * The generic Hanna Neumann conjecture and post correspondence problem*, (2008), preprint.

P. Dani, I. Levcovitz, * Subgroups of right-angled Coxeter groups via Stallings-like techniques*, (2019), arXiv:1908.09046.

J. Delgado Rodríguez, * Extensions of free groups: algebraic, geometric, and algorithmic aspects*, PhD thesis, 2017, Universitat Politècnica Catalunya.

R. Gilman, A. Myasnikov, V. Roman'kov, * Random equations in nilpotent groups*, J. Algebra 352 (2012), 192–214.

J. Friedman, * Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture: with an appendix by Warren Dicks*, Mem. Amer. Math. Soc. 233 (2015), no. 1100, xii+106 pp.

J. Friedman, * The strengthened Hanna Neumann conjecture I: A combinatorial proof*, (2010), arXiv:1003.5739v3.

V. Kaimanovich, I. Kapovich, P. Schupp, * The subadditive ergodic theorem and generic stretching factors for free group automorphisms*, Israel J. Math. 157 (2007), 1-46.

I. Kapovich, A. Miasnikov, P. Schupp, V. Shpilrain, * Average-case complexity and decision problems in group theory*, Adv. Math. 190 (2005), no. 2, 343-359.

I. Kapovich, A. Miasnikov, P. Schupp, V. Shpilrain, * Generic-case complexity, decision problems in group theory, and random walks*, J. Algebra 264 (2003), no. 2, 665-694.

I. Kapovich, P. Schupp, * Random quotients of the modular group are rigid and essentially incompressible*, J. Reine Angew. Math. 628 (2009), 91-119.

I. Kapovich, P. Schupp, * On group-theoretic models of randomness and genericity*, Groups Geom. Dyn. 2 (2008), no. 3, 383-404.

I. Kapovich, P. Schupp, V. Shpilrain, * Generic properties of Whitehead's algorithm and isomorphism rigidity of random one-relator groups*, Pacific J. Math. 223 (2006), no. 1, 113-140.

I. Kapovich, P. Schupp, * Delzant's T-invariant, Kolmogorov complexity and one-relator groups*, Comment. Math. Helv. 80 (2005), no. 4, 911-933.

I. Kapovich, P. Schupp, * Genericity, the Arzhantseva-Ol'shanskii method and the isomorphism problem for one-relator groups*, Math. Ann. 331 (2005), no. 1, 1-19.

I. Kapovich, P. Schupp, * Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion*, Proc. London Math. Soc. (3) 88 (2004), no. 1, 89-113.

O. Kharlampovich, A. Myasnikov, P. Weil, * Stallings graphs for quasi-convex subgroups*, J. Algebra 488 (2017), 442–483.

O. Kharlampovich, P. Weil, * On the generalized membership problem in relatively hyperbolic groups*, Fields of logic and computation. III, 147–155, Lecture Notes in Comput. Sci., 12180, Springer, Cham, 2020.

S. Margolis, J. Meakin, Z. Sunik, * Distortion functions and the membership problem for submonoids of groups and monoids*, Geometric methods in group theory, 109-129, Contemp. Math., 372, Amer. Math. Soc., Providence, RI, 2005.

Y. Ollivier, * A January 2005 invitation to random groups*, Ensaios Matemáticos, 10. Sociedade Brasileira de Matemática, Rio de Janeiro, 2005. ii+100 pp.

M. Sapir, * Asymptotic invariants, complexity of groups and related problems*, Bull. Math. Sci. 1 (2011), no. 2, 277–364.

M. Shusterman, P. Zalesskii,* Virtual retraction and Howson's theorem in pro-p groups* Trans. Amer. Math. Soc. 373 (2020), no. 3, 1501–1527.

B. Solie, * Genericity of filling elements*, Internat. J. Algebra Comput. 22 (2012), no. 2, 1250008, 10 pp.

B. Steinberg, * On a conjecture of Karrass and Solitar*, J. Group Theory 17 (2014), no. 3, 433–444.

[20] G.N. Arzhantseva, * Generic properties of finitely presented groups and Howson's Theorem*,

Communications in Algebra, 26 (11) (1998), 3783-3792.

** 31 citations by **

F. Bassino, A. Martino, C. Nicaud, E. Ventura, P. Weil, * Statistical properties of subgroups of free groups*, Random Structures Algorithms 42 (2013), no. 3, 349–373.

F. Bassino, A. Martino, C. Nicaud, E. Ventura, P. Weil, * On two distributions of subgroups of free groups*, Proceedings of the Seventh Workshop on Analytic Algorithmics and Combinatorics (ANALCO), 82–89, SIAM, Philadelphia, PA, 2010.

F. Bassino, A. Martino, C. Nicaud, P. Weil, * Random presentations and random subgroups: a survey*, (2017), arXiv:1702.01942.

F. Bassino, I. Kapovich, M. Lohrey, A. Miasnikov, C. Nicaud, A. Nikolaev, I. Rivin, V. Shpilrain, A. Ushakov, P. Weil, * Complexity and randomness in group theory: GAGTA book 1*, De Gruyter, 2020, xii+374 pp.
H. Bigdely, * A non-quasiconvex embedding of relatively hyperbolic groups*, (2012), arXiv:1211.2730.

A.V. Borovik, A.G. Myasnikov, V.N. Remeslennikov, * Generic complexity of the conjugacy problem in HNN-extensions and algorithmic stratification of Miller's groups*, Internat. J. Algebra Comput. 17 (2007), no. 5-6, 963-997.

A.V. Borovik, A.G. Myasnikov, V.N. Remeslennikov, * Multiplicative measures on free groups*, Internat. J. Algebra Comput. 13 (2003), no. 6, 705-731.

A. Borovik, A.G. Myasnikov, V. Shpilrain, * Measuring sets in infinite groups, Computational and statistical group theory*, (Las Vegas, NV/Hoboken, NJ, 2001), 21-42, Contemp. Math., 298, Amer. Math. Soc., Providence, RI, 2002.

L. Ciobanu, A. Martino, E. Ventura, * The generic Hanna Neumann conjecture and post correspondence problem*, (2008), preprint.

P. Dani, I. Levcovitz, * Subgroups of right-angled Coxeter groups via Stallings-like techniques*, (2019), arXiv:1908.09046.

J. Delgado Rodríguez, * Extensions of free groups: algebraic, geometric, and algorithmic aspects*, PhD thesis, 2017, Universitat Politècnica Catalunya.

R. Gilman, A. Myasnikov, V. Roman'kov, * Random equations in nilpotent groups*, J. Algebra 352 (2012), 192–214.

J. Friedman, * Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture: with an appendix by Warren Dicks*, Mem. Amer. Math. Soc. 233 (2015), no. 1100, xii+106 pp.

J. Friedman, * The strengthened Hanna Neumann conjecture I: A combinatorial proof*, (2010), arXiv:1003.5739v3.

V. Kaimanovich, I. Kapovich, P. Schupp, * The subadditive ergodic theorem and generic stretching factors for free group automorphisms*, Israel J. Math. 157 (2007), 1-46.

I. Kapovich, A. Miasnikov, P. Schupp, V. Shpilrain, * Average-case complexity and decision problems in group theory*, Adv. Math. 190 (2005), no. 2, 343-359.

I. Kapovich, A. Miasnikov, P. Schupp, V. Shpilrain, * Generic-case complexity, decision problems in group theory, and random walks*, J. Algebra 264 (2003), no. 2, 665-694.

I. Kapovich, P. Schupp, * Random quotients of the modular group are rigid and essentially incompressible*, J. Reine Angew. Math. 628 (2009), 91-119.

I. Kapovich, P. Schupp, * On group-theoretic models of randomness and genericity*, Groups Geom. Dyn. 2 (2008), no. 3, 383-404.

I. Kapovich, P. Schupp, V. Shpilrain, * Generic properties of Whitehead's algorithm and isomorphism rigidity of random one-relator groups*, Pacific J. Math. 223 (2006), no. 1, 113-140.

I. Kapovich, P. Schupp, * Delzant's T-invariant, Kolmogorov complexity and one-relator groups*, Comment. Math. Helv. 80 (2005), no. 4, 911-933.

I. Kapovich, P. Schupp, * Genericity, the Arzhantseva-Ol'shanskii method and the isomorphism problem for one-relator groups*, Math. Ann. 331 (2005), no. 1, 1-19.

I. Kapovich, P. Schupp, * Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion*, Proc. London Math. Soc. (3) 88 (2004), no. 1, 89-113.

O. Kharlampovich, A. Myasnikov, P. Weil, * Stallings graphs for quasi-convex subgroups*, J. Algebra 488 (2017), 442–483.

O. Kharlampovich, P. Weil, * On the generalized membership problem in relatively hyperbolic groups*, Fields of logic and computation. III, 147–155, Lecture Notes in Comput. Sci., 12180, Springer, Cham, 2020.

S. Margolis, J. Meakin, Z. Sunik, * Distortion functions and the membership problem for submonoids of groups and monoids*, Geometric methods in group theory, 109-129, Contemp. Math., 372, Amer. Math. Soc., Providence, RI, 2005.

Y. Ollivier, * A January 2005 invitation to random groups*, Ensaios Matemáticos, 10. Sociedade Brasileira de Matemática, Rio de Janeiro, 2005. ii+100 pp.

M. Sapir, * Asymptotic invariants, complexity of groups and related problems*, Bull. Math. Sci. 1 (2011), no. 2, 277–364.

M. Shusterman, P. Zalesskii,* Virtual retraction and Howson's theorem in pro-p groups* Trans. Amer. Math. Soc. 373 (2020), no. 3, 1501–1527.

B. Solie, * Genericity of filling elements*, Internat. J. Algebra Comput. 22 (2012), no. 2, 1250008, 10 pp.

B. Steinberg, * On a conjecture of Karrass and Solitar*, J. Group Theory 17 (2014), no. 3, 433–444.

[19] G.N. Arzhantseva, * On the groups all of whose subgroups with fixed number of generators are free*,

Fundamental and Applied Mathematics, 3(3) (1997), 675-683 (in Russian). pdf

** 19 citations by **

Yu. Bahturin, A. Olshanskii, * Actions of maximal growth*, Proc. London Math. Soc. (2010) 101(1): 27-72.

I. Bumagin, * On small cancellation k-generated groups with (k-1)-generated subgroups all free*, Internat. J. Algebra Comput. 11 (2001), no. 5, 507-524.

S. Cleary, M. Elder, A. Rechnitzer, J. Taback,* Random subgroups of Thompson's group F*, Groups Geom. Dyn. 4 (2010), no. 1, 91–126.

E. Frenkel, A.G. Myasnikov, V.N. Remeslennikov, * Regular sets and counting in free groups*, (2009), arXiv:0906.2850.

R. Gilman, A. Miasnikov, D. Osin, * Exponentially generic subsets of groups*, Illinois J. Math. 54 (2010), no. 1, 371–388.

E. Ghys, * Random groups (following Misha Gromov, ...)*, Astérisque No. 294 (2004), viii, 173-204.

V. Kaimanovich, I. Kapovich, P. Schupp, * The subadditive ergodic theorem and generic stretching factors for free group automorphisms*, Israel J. Math. 157 (2007), 1-46.

I. Kapovich, A. Miasnikov, P. Schupp, V. Shpilrain, * Average-case complexity and decision problems in group theory*, Adv. Math. 190 (2005), no. 2, 343-359.

I. Kapovich, A. Miasnikov, P. Schupp, V. Shpilrain, * Generic-case complexity, decision problems in group theory, and random walks*, J. Algebra 264 (2003), no. 2, 665-694.

I. Kapovich, I. Rivin, P. Schupp, V. Shpilrain, * Densities in free groups and Zk, visible points and test elements*, Math. Res. Lett. 14 (2007), no. 2, 263-284.

I. Kapovich, P. Schupp, * Random quotients of the modular group are rigid and essentially incompressible*, J. Reine Angew. Math. 628 (2009), 91-119.

I. Kapovich, P. Schupp, * On group-theoretic models of randomness and genericity*, Groups Geom. Dyn. 2 (2008), no. 3, 383-404.

I. Kapovich, P. Schupp, * Genericity, the Arzhantseva-Ol'shanskii method and the isomorphism problem for one-relator groups*, Math. Ann. 331 (2005), no. 1, 1-19.

I. Kapovich, P. Schupp, * Delzant's T-invariant, Kolmogorov complexity and one-relator groups*, Comment. Math. Helv. 80 (2005), no. 4, 911-933.

I. Kapovich, P. Schupp, * Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion*, Proc. London Math. Soc. (3) 88 (2004), no. 1, 89-113.

I. Kapovich, P. Schupp, V. Shpilrain, * Generic properties of Whitehead's algorithm and isomorphism rigidity of random one-relator groups*, Pacific J. Math. 223 (2006), no. 1, 113-140.

I. Kapovich, R. Weidmann, * Nielsen equivalence in a class of random groups*, J. Topol. 9 (2016), no. 2, 502–534.

Y. Ollivier, * A January 2005 invitation to random groups*, Ensaios Matemáticos, 10. Sociedade Brasileira de Matemática, Rio de Janeiro, 2005. ii+100 pp.

M. Sapir, * Asymptotic invariants, complexity of groups and related problems*, Bull. Math. Sci. 1 (2011), no. 2, 277–364.

[18] G.N. Arzhantseva and A.Yu. Ol'shanskii, * Generality of the class of groups in which subgroups with a lesser number of generators are free*,

Mathematical Notes, 59(3-4) (1996), 350-355. pdf

** 69 citations by **

Y. Antolín, L. Ciobanu, N. Viles, * On the asymptotics of visible elements and homogeneous equations in surface groups*, Groups Geom. Dyn. 6 (2012), no. 4, 619–638.

I. Babenko, S. Sabourau, * Minimal volume entropy of simplicial complexes*, (2020), arXiv:2002.11069.

T. Bandman, Sh. Garion, B. Kunyavskiĭ, *Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics*, Cent. Eur. J. Math. 12 (2014), no. 2, 175–211.

T. Bandman, B. Kunyavskiĭ, *Criteria for equidistribution of solutions of word equations on SL(2*, J. Algebra 382 (2013), 282–302.

F. Bassino, I. Kapovich, M. Lohrey, A. Miasnikov, C. Nicaud, A. Nikolaev, I. Rivin, V. Shpilrain, A. Ushakov, P. Weil, * Complexity and randomness in group theory: GAGTA book 1*, De Gruyter, 2020, xii+374 pp.

F. Bassino, A. Martino, C. Nicaud, P. Weil, * Random presentations and random subgroups: a survey*, (2017), arXiv:1702.01942.

F. Bassino, A. Martino, C. Nicaud, E. Ventura, P. Weil, * Statistical properties of subgroups of free groups*, Random Structures Algorithms 42 (2013), no. 3, 349–373.

F. Bassino, C. Nicaud, P. Weil, * On the genericity of Whitehead minimality*, J. Group Theory 19 (2016), no. 1, 137–159.

F. Bassino, C. Nicaud, P. Weil, * Generic properties of subgroups of free groups and finite presentations*, Algebra and Computer Science, 677, American Mathematical Society, pp.1-44, 2016. Contemporary Mathematics.

F. Bassino, C. Nicaud, P. Weil, * Silhouettes and generic properties of subgroups of the modular group*, (2020), arXiv:2011.09179.

G. Bergman, * On monoids, 2-firs, and semifirs*, Semigroup Forum 89 (2014), no. 2, 293–335.

A. Bishop, M. Ferov, * Density of metric small cancellation in finitely presented groups*, J. Groups Complex. Cryptol. 12 (2020), no. 2, Paper No. 1, 18 pp.

R. Brown, J. Nan, * Stabilizers of fixed point classes and Nielsen numbers of n-valued maps*, Bull. Belg. Math. Soc. Simon Stevin 24 (2017), no. 4, 523–535.

I. Bumagin, * On small cancellation k-generated groups with (k-1)-generated subgroups all free*, Internat. J. Algebra Comput. 11 (2001), no. 5, 507-524.

A. Carnevale, M. Cavaleri, * Partial word and equality problems and Banach densities*, Adv. Math. 368 (2020), 107133, 16 pp.

Ch. Cashen, J. Manning, * Virtual geometricity is rare*, LMS J. Comput. Math. 18 (2015), no. 1, 444–455.

M. Cavaleri, * Følner functions and the generic word problem for finitely generated amenable groups*, J. Algebra 511 (2018), 388–404.

T. Ceccherini-Silberstein, A. Samet-Vaillant, * Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint*, Functional analysis. J. Math. Sci. (N.Y.) 156 (2009), no. 1, 56–108.

S. Cleary, M. Elder, A. Rechnitzer, J. Taback, * Random subgroups of Thompson's group F*, Groups Geom. Dyn. 4 (2010), no. 1, 91–126.

P. Dani, I. Levcovitz, * Subgroups of right-angled Coxeter groups via Stallings-like techniques*, (2019), arXiv:1908.09046.

E. Frenkel, A.G. Myasnikov, V.N. Remeslennikov, * Regular sets and counting in free groups*, (2009), arXiv:0906.2850.

I. Gekhtman, S. Taylor, G. Tiozzo, * Counting loxodromics for hyperbolic actions*, J. Topol. 11 (2018), no. 2, 379–419.

I. Gekhtman, S. Taylor, G. Tiozzo, * Counting problems in graph products and relatively hyperbolic groups*, Israel J. Math. 237 (2020), no. 1, 311–371.

E. Ghys, * Random groups (following Misha Gromov, ...)*, Astérisque No. 294 (2004), viii, 173-204.

R. Gilman, A. Miasnikov, D. Osin, * Exponentially generic subsets of groups*, Illinois J. Math. 54 (2010), no. 1, 371–388.

R. Gilman, A. Myasnikov, V. Roman'kov, * Random equations in nilpotent groups*, J. Algebra 352 (2012), 192–214.

N. Gupta, I. Kapovich, * The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces. With an appendix by Khalid Bou-Rabee*, Math. Proc. Cambridge Philos. Soc. 166 (2019), no. 1, 83–121.

L. Guyot, * Estimating Minkowski dimensions in the space of marked groups*, Ann. Fac. Sci. Toulouse Math. (6) 16 (2007), no. 1, 107-124.

P. de la Harpe, * Uniform growth in groups of exponential growth*, Geom. Dedicata 95 (2002), 1-17.

A. Juhász, * A Freiheitssatz for Whitehead graphs of one-relator groups with small cancellation*, Comm. Algebra 37 (2009), no. 8, 2714–2741.

V. Kaimanovich, I. Kapovich, P. Schupp, * The subadditive ergodic theorem and generic stretching factors for free group automorphisms*, Israel J. Math. 157 (2007), 1-46.

I. Kapovich, * On mathematical contributions of Paul E. Schupp*, Illinois J. Math. 54 (2010), no. 1, 1–9.

I. Kapovich, A. Miasnikov, P. Schupp, V. Shpilrain, * Average-case complexity and decision problems in group theory*, Adv. Math. 190 (2005), no. 2, 343-359.

I. Kapovich, A. Miasnikov, P. Schupp, V. Shpilrain, * Generic-case complexity, decision problems in group theory, and random walks*, J. Algebra 264 (2003), no. 2, 665-694.

I. Kapovich, I. Rivin, P. Schupp, V. Shpilrain, * Densities in free groups and Zk, visible points and test elements*, Math. Res. Lett. 14 (2007), no. 2, 263-284.

I. Kapovich, P. Schupp, * Random quotients of the modular group are rigid and essentially incompressible*, J. Reine Angew. Math. 628 (2009), 91-119.

I. Kapovich, P. Schupp, * On group-theoretic models of randomness and genericity*, Groups Geom. Dyn. 2 (2008), no. 3, 383-404.

I. Kapovich, P. Schupp, * Delzant's T-invariant, Kolmogorov complexity and one-relator groups*, Comment. Math. Helv. 80 (2005), no. 4, 911-933.

I. Kapovich, P. Schupp, * Genericity, the Arzhantseva-Ol'shanskii method and the isomorphism problem for one-relator groups*, Math. Ann. 331 (2005), no. 1, 1-19.

I. Kapovich, P. Schupp, * Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion*, Proc. London Math. Soc. (3) 88 (2004), no. 1, 89-113.

I. Kapovich, P. Schupp, V. Shpilrain, * Generic properties of Whitehead's algorithm and isomorphism rigidity of random one-relator groups*, Pacific J. Math. 223 (2006), no. 1, 113-140.

I. Kapovich, R. Weidmann, * Kleinian groups and the rank problem*, Geom. Topol. 9 (2005), 375-402.

I. Kapovich, R. Weidmann, * Freely indecomposable groups acting on hyperbolic spaces, Internat*, J. Algebra Comput. 14 (2004), no. 2, 115-171.

I. Kapovich, R. Weidmann, * Nielsen equivalence in a class of random groups*, J. Topol. 9 (2016), no. 2, 502–534.

O. Kharlampovich, A. Myasnikov, P. Weil, * Stallings graphs for quasi-convex subgroups*, (2014), arXiv:1408.1917.

O. Kharlampovich, P. Weil, * On the generalized membership problem in relatively hyperbolic groups*, Fields of logic and computation. III, 147–155, Lecture Notes in Comput. Sci., 12180, Springer, Cham, 2020.

S. Kim, Ch. Staecker, * Dynamics of random selfmaps of surfaces with boundary*, Discrete Contin. Dyn. Syst. 34 (2014), no. 2, 599–611.

I. Kozakov, * Percolation and Ising model on graphs with tree-like structure*, (2008), PhD thesis, Vanderbilt University.

Y. Liu, M. M. Wood, * The free group on n generators modulo n+u random relations as n goes to infinity*, J. Reine Angew. Math. 762 (2020), 123–166.

L. Louder, H. Wilton, * Negative immersions for one-relator groups*, (2018), arXiv:1803.02671.

J. Mackay, * Conformal dimension and random groups*, Geom. Funct. Anal. 22 (2012), no. 1, 213–239.

J. Maher, A. Sisto, * Random subgroups of acylindrically hyperbolic groups and hyperbolic embeddings*, Int. Math. Res. Not. IMRN 2019, no. 13, 3941–3980.

A. Mann, * How groups grow*, London Mathematical Society Lecture Note Series, 395. Cambridge University Press, Cambridge, 2012. x+199 pp.

S. Margolis, J. Meakin, Z. Sunik, * Distortion functions and the membership problem for submonoids of groups and monoids*, Geometric methods in group theory, 109-129, Contemp. Math., 372, Amer. Math. Soc., Providence, RI, 2005.

L. Markus-Epstein, * Stallings foldings and subgroups of amalgams of finite groups*, Internat. J. Algebra Comput. 17 (2007), no. 8, 1493-1535.

A. Myasnikov, V. Shpilrain, A. Ushakov, * Group-based cryptography*, Birkhäuser, 2008.

Y. Ollivier, * Sharp phase transition theorems for hyperbolicity*, Geom. Funct. Anal. 14 (2004), no. 3, 595-679.

Y. Ollivier, * Critical densities for random quotients of hyperbolic groups*, C. R. Math. Acad. Sci. Paris 336 (2003), no. 5, 391-394.

Y. Ollivier, * A January 2005 invitation to random groups*, Ensaios Matemáticos, 10. Sociedade Brasileira de Matemática, Rio de Janeiro, 2005. ii+100 pp.

M. Sapir, * Asymptotic invariants, complexity of groups and related problems*, Bull. Math. Sci. 1 (2011), no. 2, 277–364.

P. Schupp, * Coxeter groups, 2-completion, perimeter reduction and subgroup separability*, Geom. Dedicata 96 (2003), 179-198.

V. Shpilrain, * Average-case complexity of the Whitehead problem for a free group*, (2021), arXiv:2105.01366.

I. Snopce, S. Tanushevski, * Asymptotic density of test elements in free groups and surface groups*, Int. Math. Res. Not. IMRN 2017, no. 18, 5577–5590.

B. Solie, * Genericity of filling elements*, Internat. J. Algebra Comput. 22 (2012), no. 2, 1250008, 10 pp.

Ch. Staecker, * Typical elements in free groups are in different doubly-twisted conjugacy classes*, Topology Appl. 157 (2010), no. 10-11, 1736–1741.

M. Steenbock, * Rips-Segev torsion-free groups without the unique product property*, J. Algebra 438 (2015), 337–378.

R. Weidmann, * On the rank of quotients of hyperbolic groups*, J. Group Theory 16 (2013), no. 5, 651–665.

D. T. Wise, * Sectional curvature, compact cores, and local quasiconvexity*, Geom. Funct. Anal. 14 (2004), no. 2, 433-468.

D. T. Wise, * An Invitation to Coherent Groups. What's Next?*, edited by Dylan Thurston, Princeton: Princeton University Press, 2020, pp. 326-414.

[17] G.N. Arzhantseva, * Generic properties of finitely presented groups*,

PhD thesis, Moscow Lomonosov State University, December 1998.

** Books (edited):**

[16] G.N. Arzhantseva, A.Valette (eds.), * Limits of graphs in group theory and computer science, *,

Fundamental Sciences, EPFL Press, Lausanne, 2009, 305 pp. book

[15] G.N. Arzhantseva, L. Bartholdi, J. Burillo, and E. Ventura (eds.), * Geometric group theory, *,

Fundamental Sciences, EPFL Press, Lausanne, 2009, 305 pp. book

** Submitted papers and preprints:**

[14] G.N. Arzhantseva, A. Biswas, * Large girth graphs with bounded diameter-by-girth ratio*, (2018), submitted. pdf

** 8 citations by **

I. Benjamini, M. Fraczyk, G. Kun, * Expander spanning subgraphs with large girth*, (2020), arXiv:2012.15502.

A. Biswas, * Flexibility and movability in Cayley graphs*, (2019), arXiv:1911.06261.

A. Biswas, J. P. Saha, * Expansion in Cayley graphs, Cayley sum graphs and their twists*, (2021), arXiv:2103.05935.

T. Budzinski, N. Curien, B. Petri, * On the minimal diameter of closed hyperbolic surfaces*, Duke Math. J. 170(2) (2021), 365-377.

A. S. Detinkoa, W. A. de Graaf, * 2-Generation of simple Lie algebras and free dense subgroups of algebraic groups*, Journal of Algebra 545 (2020), 159-173.

D. Gruber, A. Sisto, * Divergence and quasi-isometry classes of random Gromov's monsters*, (2018), arXiv:1805.04039.

M. W. Liebeck, A. Shalev, * Girth, words and diameter*, Bull. London Math. Soc. 51 (2019), no. 3, 539-546.

M. Zeggel, * The bounded isomorphism conjecture for box spaces of residually finite groups*, (2021), arXiv:2103.16967.

[13] G.N. Arzhantseva, M. Steenbock, * Rips construction without unique product*, (2014), submitted. pdf

** 10 citations by **

N. Dunbfield, S. Kionke, J. raimbault, * On geometric aspects of diffuse groups*, (2017), https://hal.archives-ouvertes.fr/hal-01593698/document.

M. Finn-Sell, * Almost quasi-isometries and more non-C*-exact groups*, Mathematical Proceedings of the Cambridge Philosophical Society 162 (2017), no. 3, pp. 393-403.

G. Gardam, * A counterexample to the unit conjecture for group rings*, (2021), arXiv:2102.11818.

D. Gruber, * Infinitely presented C(6)-groups are SQ-universal*, J. Lond. Math. Soc. (2) 92 (2015), no. 1, 178-201.

D. Gruber, A. Martin, M. Steenbock, * Finite index subgroups without unique product in graphical small cancellation groups*, Bull. Lond. Math. Soc. 47 (2015), no. 4, 631–638.

D. Gruber, A. Sisto, * Infinitely presented graphical small cancellation groups are acylindrically hyperbolic*, Annales de l'Institut Fourier, Tome 68 (2018) no. 6, pp. 2501-2552.

K. Khan, * Fundamental groups of certain von Neumann algebras*, PhD thesis, (2020), Vanderbilt University.

K. Khan, * Subgroups of Lacunary hyperbolic groups and free products*, (2020), arXiv:2002.08540.

S. Kionke, J. Raimbault, N. Dunfield, * On geometric aspects of diffuse groups*, (2014), arXiv:1411.6449.

A. Martin, M. Steenbock, * A combination theorem for cubulation in small cancellation theory over free products*, (2014), arXiv:1409.3678.

J. Öinert, * Units, zero-divisors and idempotents in rings graded by torsion-free groups*, (2019), arXiv:1904.04847.

[12] G.N. Arzhantseva, D. Osajda, * Graphical small cancellation groups with the Haagerup property*, (2014). pdf

** 14 citations by **

V. Alekseev, M. Finn-Sell, * Sofic boundaries of groups and coarse geometry of sofic approximations*, (2016), arXiv.org:1608.02242.

P. Baum, E. Guentner, R. Willett, * Exactness and the Kadison-Kaplansky conjecture, Operator algebras and their applications*, 1-33, Contemp. Math., 671, Amer. Math. Soc., Providence, RI, 2016.

J. Deng, Q. Wang, G. Yu, * The coarse Baum-Connes conjecture for certain extensions and relative expanders*, (2021), arXiv:2102.10617.

M. Finn-Sell, * Controlled analytic properties and the quantitive Baum-Connes Conjecture*, (2019), arXiv:1908.02131.

D. Gruber, A. Sisto, * Infinitely presented graphical small cancellation groups are acylindrically hyperbolic*, (2014), arXiv:1411.7367.

S. Knudby, * On connected Lie groups and the approximation property (2016)*, arXiv:1603.05518.

M. Mimura, * Amenability versus non-exactness of dense subgroups of a compact group.* J. Lond. Math. Soc. (2) 100 (2019), no. 2, 592-622.

M. Mimura, H. Sako, * Group approximation in Cayley topology and coarse geometry, Part I: Coarse embeddings of amenable groups*, Journal of Topology and Analysis 13 (2021), no. 1, 1–47.

M. Mimura, H. Sako, * Group approximation in Cayley topology and coarse geometry, Part II: Fibred coarse embeddings*, Anal. Geom. Metr. Spaces 7 (2019), no. 1, 62-108.

D. Osajda, * Small cancellation labellings of some infinite graphs and applications*, (2014), arXiv.org:1406.5015.

N. Ozawa, Y. Suzuki, * On characterizations of amenable C*-dynamical systems and new examples*, (2020), arXiv:2011.03420.

D. Sawicki, * Warped cones over profinite completions*, J. Topol. Anal. 10 (2018), no. 3, 563-584.

D. Sawicki, J. Wu, * Straightening warped cones*, Journal of Topology and Analysis (2020), 1-25.

Q. Wang, Y. Zhang, * The coarse Novikov conjecture for extensions of coarsely embeddable groups*, (2021), arXiv:2105.04753.

[11] G.N. Arzhantseva, C. Drutu, * Geometry of infinitely presented small cancellation groups, Rapid Decay and quasi-homomorphisms*, (2014). pdf

** 5 citations by **

M. Brandenbursky, S. Gal, J. Kędra, M. Marcinkowski, * The cancellation norm and the geometry of bi-invariant word metrics*, Glasg. Math. J. 58 (2016), no. 1, 153–176.

I. Chatterji, * Introduction to the rapid decay property*, (2016), arXiv:1604.06387.

D. Gruber, A. Sisto, * Infinitely presented graphical small cancellation groups are acylindrically hyperbolic*, (2014), arXiv:1408.4488

A. Martin, * Complexes of groups and geometric small cancellation over graphs of groups*, (2013), arXiv:1306.6847v2.

M. Sapir, * The rapid decay property and centroids in groups*, J. Topol. Anal. 7 (2015), no. 3, 513–541.

[10] G.N. Arzhantseva and T. Delzant, * Examples of random groups*, (2008).

first version (October 28, 2008), revised version (August 26, 2011). pdf

** 74 citations by **

A. Bartels, W. Lueck, * The Borel conjecture for hyperbolic and CAT(0)-groups*, Ann. of Math. (2) 175 (2012), no. 2, 631–689.

M. Bestvina, V. Guirardel, C. Horbez, * Boundary amenability of Out(FN) *, (2017), arXiv:1705.07017.

P. Baum, * Dirac operator and K-theory for discrete groups. A celebration of the mathematical legacy of Raoul Bott*, 97–107, CRM Proc. Lecture Notes, 50, Amer. Math. Soc., Providence, RI, 2010.

P. Baum, E. Guentner, R. Willett, * Exactness and the Kadison-Kaplansky conjecture, Operator algebras and their applications*, 1-33, Contemp. Math., 671, Amer. Math. Soc., Providence, RI, 2016.

P. Baum, E. Guentner, R. Willett, * Expanders, exact crossed products, and the Baum-Connes conjecture*, (2013), arXiv:1311.2343.

J. Brodzki, Ch. Cave, K. Li, * Exactness of locally compact groups*, Adv. Math. 312 (2017), 209–233.

M. Cordes, D. Hume, * Stability and the Morse boundary*, J. Lond. Math. Soc. (2) 95 (2017), no. 3, 963–988.

Y. de Cornulier, Y. Stalder, A. Valette, * Proper actions of wreath products and generalizations*, Trans. Amer. Math. Soc. 364 (2012), no. 6, 3159–3184.

R. Coulon, * Asphericity and small cancellation theory for rotation families of groups*, Groups Geom. Dyn. 5 (2011), no. 4, 729–765.

R. Coulon, * Automorphismes extérieurs du groupe de Burnside libre*, PhD thesis, University of Strasbourg, 2010.

R. Coulon, * On the geometry of Burnside quotients of torsion free hyperbolic groups. Internat. J. Algebra Comput. 24 (2014)*, no. 3, 251–345.

R. Coulon, * Théorie de la petite simplification: une approche géométrique [d'après F. Dahmani, V. Guirardel, D. Osin et S. Cantat, S. Lamy]*, (French) [Small cancellation theory: a geometric approach (after F. Dahmani, V. Guirardel, D. Osin, and S. Cantat, S. Lamy)] Astérisque No. 380, Séminaire Bourbaki. Vol. 2014/2015 (2016), Exp. No. 1089, 1–33.

R. Coulon, D. Gruber, * Small cancellation theory over Burnside groups*, (2017), arXiv:1705.09651.

R. Coulon, M. Hull, C. Kent, * A Cartan-Hadamard type result for relatively hyperbolic groups*, Geom. Dedicata 180 (2016), 339–371.

F. Dahmani, V. Guirardel, D. Osin, * Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces*, Mem. Amer. Math. Soc. 245 (2017), no. 1156, v+152 pp.

T. Delabie, A. Khukhro, * Box spaces of the free group that neither contain expanders nor embed into a Hilbert space*. Advances in Mathematics 336 (2018), 70-96.

T. Delabie, M. Tointon, * The asymptotic dimension of box spaces of virtually nilpotent groups*, Discrete Math. 341 (2018), no. 4, 1036–1040.

T. Deprez, * Ozawa's class S for locally compact groups and unique prime factorization*, (2019), arXiv:1904.02090.

A. Dranishnikov, M. Zarichnyi, * Asymptotic dimension, decomposition complexity, and Haver's property C*, Topology Appl. 169 (2014), 99–107.

C. Druţu, M. Kapovich, * Geometric group theory*, With an appendix by Bogdan Nica. American Mathematical Society Colloquium Publications, 63. American Mathematical Society, Providence, RI, 2018. xx+819 pp.

A. Eskenazis, * Geometric inequalities and advances in the Ribe program*, PhD thesis, 2019, Princeton University.

A. Eskenazis, M. Mendel, A. Naor, * Nonpositive curvature is not coarsely universal*, Invent. Math. 217 (2019), no. 3, 833-886.

M. Finn-Sell, * Almost quasi-isometries and more non-C*-exact groups*, Math. Proc. Cambridge Philos. Soc. 162 (2017), no. 3, 393–403.

M. Finn-Sell, * Controlled analytic properties and the quantitive Baum-Connes Conjecture*, (2019), arXiv:1908.02131.

M. Finn-Sell, * On the Baum-Connes conjecture for Gromov monster groups*, (2014), arXiv:1401.6841.

M. Gerasimova, D. Gruber, N. Monod, A. Thom, * Asymptotics of Cheeger constants and unitarisability of groups*, (2018), arXiv:1801.09600.

M. P. Gomez Aparicio, P. Julg, A. Valette, * The Baum–Connes conjecture: an extended survey*, In Advances in Noncommutative Geometry (pp. 127-244), 2019, Springer, Cham.

D. Gruber, * Infinitely presented C(6)-groups are SQ-universal*, J. Lond. Math. Soc. (2) 92 (2015), no. 1, 178–201.

D. Gruber, * Groups with graphical C(6) and C(7) small cancellation presentations*, Trans. Amer. Math. Soc. 367 (2015), no. 3, 2051–2078.

D. Gruber, A. Sisto, * Infinitely presented graphical small cancellation groups are acylindrically hyperbolic *, Ann. Inst. Fourier (Grenoble) 68 (2018), no. 6, 2501–2552.

D. Gruber, A. Sisto, * Divergence and quasi-isometry classes of random Gromov's monsters*, (2018), arXiv:1805.04039.

D. Gruber, A. Sisto, R. Tessera, * Random Gromov's monsters do not act non-elementarily on hyperbolic spaces*, Proc. Amer. Math. Soc. 148 (2020), no. 7, 2773–2782.

E. Guentner, R. Tessera, G. Yu, * A notion of geometric complexity and its application to topological rigidity*, arxiv:1008.0884v1.

E. Guentner, R. Tessera, G. Yu,* Discrete groups with finite decomposition complexity*, Groups Geom. Dyn. 7 (2013), no. 2, 377–402.

V. Guirardel, * Geometric small cancellation*, Geometric group theory, 55–90, IAS/Park City Math. Ser., 21, Amer. Math. Soc., Providence, RI, 2014.

S. Han, * Relative hyperbolicity of graphical small cancellation groups *, (2020), arXiv:2010.13528.

D. Hume,* Direct embeddings of relatively hyperbolic groups with optimal ℓp compression exponent*, J. Reine Angew. Math. 703 (2015), 147–172.

D. Hume, * Separation profiles, coarse embeddability and inner expansion*, (2014), arXiv:arXiv:1410.0246v1.

C. Horbez, J. Huang, * Boundary amenability and measure equivalence rigidity among two-dimensional Artin groups of hyperbolic type*, (2020), arXiv:2004.09325.

H. Izeki, T. Kondo, Sh. Nayatani, * N-step energy of maps and the fixed-point property of random groups*, Groups Geom. Dyn. 6 (2012), no. 4, 701–736.

R. Kasilingam, * Topological rigidity problems*, (2015), arXiv:1510.04139.

A. Khukhro, * Espaces et groupes non exacts admettant un plongement grossier dans un espace de Hilbert*, Séminaire Bourbaki 71e année, 2018-2019, no. 1154.

M. Kotowski, * Gromov's random group*, (2013), notes, https://www.mimuw.edu.pl/~mk249019/notes-01-03-2013.pdf.

V. Lafforgue, * Conjecture de Baum-Connes*, théorie de Fonataine en caractéristique p, et programme de Langlands géométriques, (2009), Habilitation thesis, University of Paris 7.

W. Lueck, * Survey on aspherical manifolds*, European Congress of Mathematics, 53–82, Eur. Math. Soc., Zürich, 2010.

W. Lueck, * Aspherical manifolds*, Bulletin of the Manifold Atlas 2012, 1-17.

W. Lueck, * Some open problems about aspherical closed manifolds*, (2014) In: Ancona V., Strickland E. (eds) Trends in Contemporary Mathematics. Springer INdAM Series, vol 8. Springer, Cham.

W. Lueck, * K- and L-theory of group rings*, (2010), arXiv:1003.5002v1.

W. Lueck, * Isomorphism conjectures in K- and L-theory*, 2021, http://www.him.uni-bonn.de/lueck/data/ic.pdf.

M. Mimura, * Amenability versus non-exactness of dense subgroups of a compact group.* J. Lond. Math. Soc. (2) 100 (2019), no. 2, 592-622.

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A. Naor, L. Silberman, * Poincaré inequalities, embeddings, and wild groups*, Compos. Math. 147 (2011), no. 5, 1546–1572.

S. Nayatani, * Fixed‐point property for affine actions on a Hilbert space*, RIMS Kôkyûroku Bessatsu B66 (2017), 115−131.

P. Nowak, G. Yu,* Large-Scale geometry*, (2010), EMS publishing house, to appear. http://www.math.tamu.edu/~pnowak/book_etb/book_etb.pdf.

P. Nowak, * Group actions on Banach spaces*, Handbook of group actions. Vol. II, 121–149, Adv. Lect. Math. (ALM), 32, Int. Press, Somerville, MA, 2015.

Y. Ollivier, * A January 2005 invitation to random groups*, Ensaios Matemáticos [Mathematical Surveys], 10. Sociedade Brasileira de Matemática, Rio de Janeiro, 2005. ii+100 pp.

D. Osajda, * Small cancellation labellings of some infinite graphs and applications*, Acta Math. 225 (2020), no. 1, 159-191.

G. Pisier, * Interpolation and Fatou-Zygmund property for completely Sidon subsets of discrete groups (New title: Completely Sidon sets in discrete groups)*, (2017), arXiv:1706.03844.

G. Pisier, * Tensor products of C*-algebras and operator spaces*, London Mathematical Society student texts 96, Cambridge, New York, Cambridge University Press, 2020, x+484 pp.

M. Puschnigg, * The Baum-Connes conjecture with coefficients for word-hyperbolic groups*, (after Vincent Lafforgue). Astérisque No. 361 (2014), Exp. No. 1062, vii, 115–148.

M. Sapir, * A Higman embedding preserving asphericity*, J. Amer. Math. Soc. 27 (2014), no. 1, 1–42.

M. Sapir, * Aspherical groups and manifolds with extreme properties*, (2011), arXiv:1103.3873v3.

M. Sapir, * Asymptotic invariants, complexity of groups and related problems*, Bull. Math. Sci. 1 (2011), no. 2, 277–364.

D. Sawicki, J. Wu, * Straightening warped cones*, (2017), arXiv:1705.06725.

J. Špakula, R. Willett,* On rigidity of Roe algebras*, Adv. Math. 249 (2013), 289–310.

F. Vigolo, * Geometry of actions, expanders and warped cones*, PhD thesis, 2018, University of Oxford.

Sh. Weinberger, G. Yu, * Finite part of operator K-theory for groups finitely embeddable into Hilbert space and the degree of nonrigidity of manifolds*, Geom. Topol. 19 (2015), no. 5, 2767–2799.

S. White, R. Willett, * Cartan subalgebras in uniform Roe algebras*, Groups Geom. Dyn. 14 (2020), no. 3, 949–989.

R. Willett, G. Yu, * Higher index theory for certain expanders and Gromov monster groups II*, Adv. Math. 229 (2012), no. 3, 1762–1803.

R. Willett, G. Yu, * Higher index theory for certain expanders and Gromov monster groups I*, Adv. Math. 229 (2012), no. 3, 1380–1416.

R. Willett, G. Yu, * Higher index theory*, (2019), https://math.hawaii.edu/~rufus/Skeleton.pdf.

R. Willett, * Property A and graphs with large girth*, J. Topol. Anal. 3 (2011), no. 3, 377–384.

Z. Xie, G. Yu, * Higher invariants in noncommutative geometry*, In: Chamseddine A., Consani C., Higson N., Khalkhali M., Moscovici H., Yu G. (eds) Advances in Noncommutative Geometry, 2019, Springer, Cham.

G. Yu, * The Novikov conjecture*, Russ. Math. Surv 74 (2019), no. 3, 525–541.

[9] G.N. Arzhantseva, P.-A. Cherix, * Quantifying metric approximations of discrete groups*,

preprint, University of Geneva, (2008), revised version (2020), submitted. pdf

** 4 citations by **

H. Bradford, * Quantifying local embeddings into finite groups*, (2021), arXiv:2104.07111.

H. Bradford, D. Dona, * Topological full groups of minimal subshifts and quantifying local embeddings into finite groups*, (2021), arXiv:2106.09145.

F. Fournier-Facio, * Ultrametric analogues of Ulam stability of groups *, (2021), arXiv:2105.00516.

A. Ivanov, * Sofic profiles of S(ω) and computability*, Arch. Math. Logic 60 (2021), no. 3-4, 477–494.

[8] G.N. Arzhantseva, * An algorithm detecting Dehn presentations*,

preprint, University of Geneva, (2000). pdf

** 3 citations by **

A. Darbinyan, * The word and conjugacy problems in lacunary hyperbolic groups*, (2017), arXiv:1708.04591.

V. Diekert, A. Duncan, A. Myasnikov, Geodesic rewriting systems and pregroups, (2009), arXiv.org:0906.2223.

O. Kharlampovich, A. Myasnikov, P. Weil, Stallings graphs for quasi-convex subgroups (2014), arXiv:1408.1917.

** Papers in Theoretical Computer Science/Applied mathematics (refereed):**

[7] G.N. Arzhantseva, J. Díaz, J. Petit, J.D.P. Rolim, and M. Serna, * Broadcasting on networks of sensors communicating through directional antennas*,

Ambient Intelligence Computing, 1-12, Proceedings, CTI Press and Ellinika Grammata, 2003. pdf

[6] G.N. Arzhantseva and J.D.P. Rolim, * Considerations for a geometric model of the web*,

Approximation and Randomization Algorithms in Communication Networks, Rome, 2002, 1-11, Proceedings, Carleton Scientific.

[5] G.N. Arzhantseva and J.D.P. Rolim, * Computability and Complexity*,

e-learning theoretical course of the Virtual Logic Laboratory (a project of the Swiss Virtual Campus), 90 pp. (electronic tutorial)

** Short communications: **

[4] G. Arzhantseva, A. Thom, A. Valette, * Finite-dimensional approximations of discrete groups,*,

Oberwolfach Rep., 8(2) (2011), 1429-1467. pdf

[3] G. Arzhantseva, * Uniform embeddings of groups into a Hilbert space,*,

in I. Hambleton, E. Pedersen, A. Ranicki, H. Reich (eds.), Manifold perspectives, Oberwolfach Rep. 6(2) (2009), 1527-1529. pdf

[2] G. Arzhantseva, * The uniform Kazhdan property for SLn(Z), n>3,*,

l'Enseignement Mathématique 54(2) (2008), 12.

[1] G. Arzhantseva, * The entropy of a group endomorphismce,*,

in G. Knieper, L. Polterovich, L. Potyagailo (eds.), Geometric group theory, hyperbolic dynamics and symplectic geometry, embeddings of groups into a Hilbert space, Oberwolfach Rep. 33 (2006), 2044-2045. book

** Lecture notes:**

G.N. Arzhantseva and M. Lustig, A first course in geometric group theory, graduate textbook project.

G.N. Arzhantseva, Geometry of small cancellation and Burnside factors, lecture notes of the Borel seminar minicourse.

G.N. Arzhantseva, Infinite groups: Growth and Isoperimetry, lecture notes, the IIIe Cycle Romand de mathématiques.

** Conference announcements:**

G.N. Arzhantseva, * Genericity of Howson's property of finitely presented groups*,

International Algebraic Conference dedicated to the memory of D.K. Faddeev, Saint-Petersburg, Russia, 24-30 June, 1997. Abstracts, 158-159.

G.N. Arzhantseva, * Generic classes of finitely presented groups*,

International Algebraic Conference dedicated to the memory of D.K. Faddeev, Saint-Petersburg, Russia, 24-30 June, 1997. Abstracts, 158-159.

G.N. Arzhantseva, * Generic classes of finitely presented groups*,

International Conference "Mathematics. Modeling. Ecology" Volgograd, Russia, 27-31 May, 1996. Abstracts, p.23.