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

** more then 901 citations in total, ** excluding self-citations.

** Last update: Nov. 22 ^{nd},
2022 **

** Papers already published or accepted:**

Summary
and comments to my list of publications

[57] G.N. Arzhantseva, M. Steenbock, *
Rips construction without unique product*, Pacific Journal of
Mathematics, 322(1) (2023), 1-9. pdf

** 12 citations by **

M. Arenas, *A cubical Rips construction*, (2022), arXiv:2202.01048.

E. Einstein, T. Ng, *Relative cubulation of small cancellation free
products*, (2021), arXiv:2111.03008.

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*,
Annals of Mathematics (2) 194 (2021), no. 3, 967-979.

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, 68 (2018) no. 6, 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*, Doc. Math. 21 (2016), 873-915.

A. Martin, M. Steenbock, * A combination theorem for cubulation in
small cancellation theory over free products*, Ann. Inst. Fourier, 67
(2017), no. 4, 1613-1670.

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

[56] G.N. Arzhantseva, A. Biswas, *
Logarithmic girth expander graphs of SL_n(F_p)*, Journal of
Algebraic Combinatorics, 56 (2022), 691-723. pdf

** 10 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. Detinko, 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.

C. Le Coz, C. Battarbee, R. Flores, Th. Koberda, D. Kahrobaei,
Post-quantum hash functions using SL_n(F_p), (2022), arXiv:2207.03987.

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

M. Polak, E. Zhupa, Keyed hash function
from large girth expander graphs, Albanian Journal of
Mathematics, 16(1) (2022), 25-39.

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

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

Algebraic & Geometric Topology 22(5) (2022), 2007-2078. pdf

**5 citations by**

M. Arenas, *Cubical small-cancellation theory and large-dimensional
hyperbolic groups*, Thesis, University of Cambridge, (2023).

M. Arenas, K. Jankiewicz, D. Wise, *Hyperbolicty in non-metric cubical
small cancellation*, arXiv:2309.16860.

A. Genevois, *Coning-off CAT(0) cube complexes*, Ann. Inst. Fourier
(Grenoble), 71 (2021), no. 4, 1535–1599.

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

**4 citations by **

H. Bradford, Local permutation
stability, (2022), arXiv:2211.15249.

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

A. Ioana, *Almost commuting matrices and stability for product groups*,
(2021), arXiv:2108.09589.

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

** 9 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.

L. Guo, Z. Luo, Q. Wang, Y. Zhang,*K-theory of the maximal and reduced
Roe algebras of metric spaces with A-by-CE coarse fibrations*,
(2021), arXiv:2110.15624.

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

** 43 citations by **

S. Atkinson, * Some results on tracial stability and graph products*,
Indiana Univ. Math. J. 70 (2021), no. 3, 1167–1187.

S. Atkinson, S. Kunnawalkam Elayavalli, * On ultraproduct embeddings
and amenability for tracial von Neumann algebras*, Int. Math. Res.
Not. IMRN 2021, no. 4, 2882–2918.

O. Becker, M. Chapman, * Stability of approximate group actions:
uniform and probabilistic*, J. Eur. Math. Soc. (2022), in press.

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, *Stability and testability:
equations in permutations*, (2020), arXiv:2011.05234.

O. Becker, A. Lubotzky, J. Mosheiff, *Testability of relations between
permutations*, 2021 IEEE 62nd Annual Symposium on Foundations of
Computer Science (FOCS), 2022, pp. 286-297.

O. Becker, A. Lubotzky, J. Mosheiff, * Testability in group theory*,
(2022), arXiv:2204.04539.

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*,
Int. Math. Res. Not. IMRN 2021, no. 20, 15574–15632.

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

H. Bradford, Local permutations
stability, (2022), arXiv:2211.15249.

P. Burton, *Hyperlinear approximations to amenable groups come from
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A. Yu. Olshanskii, D.V. Osin, * A quasi-isometric embedding theorem for
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A. Ol'shanskii, D. Osin, * C*-simple groups without free subgroups*,
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M. Saltan, * The relation between adding machne and p-adic integers*,
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Y. Matsuda, S. Oguni, * S. Yamagata, C*-simplicity for groups with
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A. Yu. Olshanskii, D. V. Osin, * C*-simple groups without free
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D. Kahrobaei, A. F. Douglas, K. Bencsáth, * Some residually solvable
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T. Austin, A. Naor, Y. Peres, * The wreath product of Z with Z has
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T. Austin, * Amenable groups with very poor compression into Lebesgue
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J. Brieussel, T. Zheng, * Speed of random walks, isoperimetry and
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N. Brodskiy, D. Sonkin, * Compression of uniform embeddings into
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R. Gray, A. Malheiro, S. Pride, * On properties not inherited by
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G. Golan, M. Sapir, * On the stabilizers of finite sets of numbers in
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A. Gournay, * The Liouville property and Hilbertian compression*,
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V. Guba, M. Sapir, * On the conjugacy growth functions of groups*,
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U. Haagerup, G. Picioroaga, * New presentations of Thompson's groups
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E. Kirchberg, A. Sierakowski, * Strong pure infiniteness of crossed
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A. Naor, Y. Peres, * Lp compression, traveling salesmen, and stable
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G. Yu, * Higher index theory of elliptic operators and geometry of
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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, * 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.

[18] 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.

[17] 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.

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

PhD thesis, Moscow Lomonosov State University, December 1998.

** Books (edited):**

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

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

[14] 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:**

[13] G.N. Arzhantseva, D. Kielak, T. de Laat, D. Sawicki, Origami expanders, arXiv:2112.11864. pdf

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

**14 citations by **

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D. Osajda, * Small cancellation labellings of some infinite graphs and
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N. Ozawa, Y. Suzuki, * On characterizations of amenable C*-dynamical
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D. Sawicki, J. Wu, * Straightening warped cones*, Journal of
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Q. Wang, Y. Zhang, * The coarse Novikov conjecture for extensions of
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[11] G.N. Arzhantseva, C. Drutu, * Geometry of infinitely
presented small cancellation groups, Rapid Decay and
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I. Chatterji, * Introduction to the rapid decay property*, (2016),
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D. Gruber, A. Sisto, * Infinitely presented graphical small
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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.
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[10] G.N.
Arzhantseva and T. Delzant, * Examples of random groups*,
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first version (October 28, 2008), revised version (August 26, 2011).
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[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.
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[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.