Last update: Jan. 14th,  2024
Papers already published or accepted:  [==>  to submitted papers and recent preprints]
Summary of publications        > 901 citations

[58] G.N. Arzhantseva, D. Kielak, T. de Laat, D. Sawicki, Spectral gap and origami expanders,
Commentari Mathematici Helvetici, (2024), in press.    pdf   NEW !

[57] G.N. Arzhantseva,  P.-A. Cherix, Quantifying metric approximations of discrete groups,
Annales de la Faculté des Sciences de Toulouse, (2023), in press
.   pdf   NEW !

[56] G.N. Arzhantseva, M. Steenbock, Rips construction without unique product,
Pacific Journal of Mathematics, 322(1) (2023), 19.    pdf   NEW !

[55] G.N. Arzhantseva, A. Biswas, Logarithmic girth expander graphs of SL_n(F_p),
Journal of Algebraic Combinatorics, (2022), 56 (2022), 691723.    pdf  

[54] G.N. Arzhantseva, M. Hagen, Acylindrical hyperbolicity of cubical small-cancellation groups,
Algebraic & Geometric Topology, 22(5) (2022), 2007–2078.    pdf

[53] G.N. Arzhantseva, S. Gal, On approximation properties of semidirect products of groups,
Annales mathematiques Blaise Pascal, 27(1) (2020), 125-130.     pdf   

[52] 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  

[51] G.N. Arzhantseva, Ch. Cashen, Cogrowth for group actions with strongly contracting elements,
Ergodic Theory and Dynamical Systems, 40(7) (2020), 1738-1754.    pdf 

[50] G.N. Arzhantseva, L. Paunescu, Constraint metric approximations and equations in groups,
Journal of Algebra, 516 (2018), 329-351.    pdf  

[49] G.N. Arzhantseva, C. Drutu, Geometry of infinitely presented small cancellation groups and quasi-homomorphisms,
Canadian Journal of Mathematics, 71(5) (2019), 997-1018.   

[48] 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.

[47] 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

[46] G.N. Arzhantseva, G.A. Niblo, N. Wright, J. Zhang, A characterization for asymptotic dimension growth,
Algebraic & Geometric Topology, 18 (2018), 493-524.

[45] 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

[44] G.N. Arzhantseva, L. Paunescu, Linear sofic groups and algebras
Transactions of the American Mathematical Society, 369 (2017), 2285-2310.    pdf

[43] G.N. Arzhantseva, Ch. Cashen, J. Tao, Growth tight actions,
Pacific Journal of Mathematics, 278(1) (2015), 1-49.    pdf

[42] G.N. Arzhantseva, L. Paunescu, Almost commuting permutations are near commuting permutations,
Journal of Functional Analysis, 269(3) (2015), 745-757.    pdf

[41] G.N. Arzhantseva, D. Osajda, Infinitely presented small cancellation groups have Haagerup property,
Journal of Topology and Analysis, 7(3) (2015), 389-406
.     pdf

[40] G.N. Arzhantseva, R. Tessera, Relative expanders,
Geometric and Functional Analysis [GAFA], 25(2) (2015), 317-341.

G.N. Arzhantseva, Asymptotic approximations of finitely generated groups,
in Research Perspectives CRM Barcelona-Fall 2012 (Trends in Mathematics),
Birkhäuser, Basel, vol. 1, 2014, 7-16.     pdf    book    

[38] G.N. Arzhantseva, J.-F. Lafont, A. Minasyan, Isomorphism versus commensurability for a class of finitely presented groups,
Journal of Group Theory, 17(2) (2014), 361-378.    

[37] G.N. Arzhantseva, E. Guentner, J. Spakula,
Coarse non-amenability and coarse embeddings,
Geometric and Functional Analysis [GAFA], 22(1) (2012), 22-36.    

[36] G.N. Arzhantseva and E. Guentner, Coarse non-amenability and covers with small eigenvalues,
Mathematische Annalen, 354(3) (2012), 863-870.    

[35] G.N. Arzhantseva, M. Bridson, T. Januszkiewicz, I. Leary, A. Minasyan, J. Swiatkowski,
Infinite groups with fixed point properties, Geometry & Topology, 13 (2009), 1229-1263.    pdf

[34] G.N. Arzhantseva, C. Drutu, and M. Sapir, Compression functions of uniform embeddings of groups into
Hilbert and Banach spaces,
Journal für die Reine und Angewandte Mathematik, [Crelle's Journal], 633 (2009), 213-235.     pdf

[33] G.N. Arzhantseva, V.S. Guba, M. Lustig and J.-Ph. Préaux, Testing Cayley graph densities,
Annales mathematiques Blaise Pascal, 15(2) (2008), 169-221.
   abs   pdf

[32] G.N. Arzhantseva, A. Minasyan and D. Osin, The SQ-universality and residual properties of
relatively hyperbolic groups
, Journal of Algebra, 315(1)  (2007), 165-177.    pdf

[31] G. N. Arzhantseva and Z. Sunic,  Construction of elements in the closure of Grigorchuk group,
Geometriae Dedicata, 124(1)  (2007), 17-26.    pdf

[30]  G.N. Arzhantseva, A. Minasyan, Relatively hyperbolic groups are C*-simple,
Journal of Functional Analysis, 243(1)  (2007), 345-351.

[29] G.N. Arzhantseva, P. de la Harpe, D. Kahrobaei, The true prosoluble completion of a group:
Examples and open problems, Geometriae Dedicata, 124(1)  (2007), 5-17
.    abs   pdf.

[28] G.N. Arzhantseva, V.S. Guba, M.V. Sapir, Metrics on diagram groups and
uniform embeddings in a Hilbert space
,  Commentarii Mathematici Helvetici, 81(4) (2006), 911-929.   abs  pdf.  

[27] G.N. Arzhantseva, A dichotomy for finitely generated subgroups of word hyperbolic groups,
  Contemporary Mathematics, 394, Amer. Math.Soc., Providence, RI, 2006, 1-11.    abs  intro  pdf 

[26] G.N. Arzhantseva and I.G. Lysenok, A lower bound on the growth of word hyperbolic groups,
 Journal of the London Mathematical Society, (2) 73 (2006), 109-125.    abs   pdf

[25] G.N. Arzhantseva, V.S. Guba, L. Guyot, Growth rates of amenable groups,
 Journal of Group Theory, 8 (2005), no.3, 389-394.
   abs   pdf

[24] G.N. Arzhantseva, J. Burillo, M. Lustig, L. Reeves, H. Short, E. Ventura, Uniform non-amenability,
 Advances in Mathematics,
197 (2005), no. 2, 499-522.    abs  intro  pdf

[23] G.N. Arzhantseva and P.-A. Cherix, On the Cayley graph of a generic finitely presented group,
 Bulletin of the Belgian Mathematical Society, 11 (2004), no. 4, 589-601.   abs  intro  pdf  

[22] G.N. Arzhantseva and I.G. Lysenok, Growth tightness for word hyperbolic groups,
  Mathematische Zeitschrift, 241 (2002), no. 3, 597-611.   abs  intro  pdf

[21] G.N. Arzhantseva and D.V. Osin, Solvable groups with polynomial Dehn functions,
 Transactions of the American Mathematical Society, 354 (2002), 3329-3348.    abs  intro  pdf

[20] G.N. Arzhantseva, On quasiconvex subgroups of word hyperbolic groups,
 Geometriae Dedicata, 87 (2001), 191-208.    abs  intro  pdf  

[19] 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.   abs  intro

[18] G.N. Arzhantseva, Generic properties of finitely presented groups and Howson's Theorem,
 Communications in Algebra, 26 (11) (1998), 3783-3792.    mathscinet  intro

[17] 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).     abs  pdf  

[16] 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.    mathscinet  pdf    

[15] G.N. Arzhantseva, Generic properties of finitely presented groups,
PhD thesis, Moscow Lomonosov State University, December 1998.

Books (edited):

[14] G.N. Arzhantseva, A.Valette (eds.), Limits of graphs in group theory and computer science,
Fundamental Sciences, EPFL Press, Lausanne, 2009, 305 pp.   

[13] G.N. Arzhantseva, L. Bartholdi, J. Burillo, and E. Ventura (eds.), Geometric group theory,
Trends in Mathematics, Birkhäuser Verlag, Basel,  2007, 253 pp.   book

Submitted papers and preprints:

[12] G.N. Arzhantseva, L. Paunescu, Constraint stability in permutations and action traces, arXiv:2304.07656.    pdf

[11] G.N. Arzhantseva, D. Osajda, Graphical small cancellation groups with the Haagerup property, arXiv:1404.6807.    pdf

[10] G.N. Arzhantseva, C. Drutu, Geometry of infinitely presented small cancellation groups, Rapid Decay and quasi-homomorphisms, arXiv:1212.5280.     pdf   

[9] G.N. Arzhantseva and T. Delzant, Examples of random groups, (2008):
first version (October 28, 2008), revised version (August 26, 2011). 

[8] G.N. Arzhantseva,  An algorithm detecting Dehn presentations,
 preprint, University of Geneva, (2000).   abs  intro  pdf

Proceedings / e-tutorial (refereed):

[7] G.N. Arzhantseva, J. Díaz, J. Petit, J.D.P. Rolim, and M. Serna, Broadcasting on networks of sensors 
communicating through directional antennasAmbient Intelligence Computing,
Proceedings, CTI Press and Ellinika Grammata, 2003.    abs  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.    abs

[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).    abs

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 endomorphism,
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 Conference "Modern problems of Number Theory and Applications", Tula, Russia, 9-14 September, 1996, Abstracts,  p.9.

 G.N. Arzhantseva, Generic classes of finitely presented groups,
International Conference "Mathematics. Modeling. Ecology" Volgograd, Russia, 27-31 May, 1996. Abstracts, p.23.