Ilya Gekhtman

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All published works

Action	Title	Year	Authors
+ PDF Chat	Equidistribution of hyperbolic groups in homogeneous spaces	2024	Ilya Gekhtman S. J. Taylor Giulio Tiozzo
+	Stationary random subgroups in negative curvature	2023	Ilya Gekhtman Arie Levit
+	Ratio-limit boundaries for random walks on relatively hyperbolic groups	2023	Adam Dor-On Matthieu Dussaule Ilya Gekhtman
+	Dynamics of subgroups of mapping class groups	2023	Ilya Gekhtman Biao Ma
+ PDF Chat	Central limit theorems for counting measures in coarse negative curvature	2022	Ilya Gekhtman S. J. Taylor Giulio Tiozzo
+ PDF Chat	An embedding of the Morse boundary in the Martin boundary	2022	Matthew Cordes Matthieu Dussaule Ilya Gekhtman
+ PDF Chat	Counting conjugacy classes in groups with contracting elements	2022	Ilya Gekhtman Wenyuan Yang
+	Genericity of sublinearly Morse directions in CAT(0) spaces and the Teichmüller space	2022	Ilya Gekhtman Yulan Qing Kasra Rafi
+	Equidistribution of hyperbolic groups in homogeneous spaces	2022	Ilya Gekhtman S. J. Taylor Giulio Tiozzo
+ PDF Chat	The Martin boundary of relatively hyperbolic groups with virtually abelian parabolic subgroups	2021	Matthieu Dussaule Ilya Gekhtman Victor Gerasimov Leonid Potyagailo
+ PDF Chat	Martin boundary covers Floyd boundary	2021	Ilya Gekhtman Victor Gerasimov Leonid Potyagailo Wenyuan Yang
+	Entropy and drift for word metrics on relatively hyperbolic groups	2020	Matthieu Dussaule Ilya Gekhtman
+	Stability phenomena for Martin boundaries of relatively hyperbolic groups	2020	Matthieu Dussaule Ilya Gekhtman
+ PDF Chat	Counting problems in graph products and relatively hyperbolic groups	2020	Ilya Gekhtman S. J. Taylor Giulio Tiozzo
+	An immersion of the Morse boundary in the Martin boundary	2020	Matthew Cordes Matthieu Dussaule Ilya Gekhtman
+	Central limit theorems for counting measures in coarse negative curvature	2020	Ilya Gekhtman S. J. Taylor Giulio Tiozzo
+	Entropy and drift for Gibbs measures on geometrically finite manifolds	2019	Ilya Gekhtman Giulio Tiozzo
+ PDF Chat	A central limit theorem for random closed geodesics: Proof of the Chas–Li–Maskit conjecture	2019	Ilya Gekhtman S. J. Taylor Giulio Tiozzo
+ PDF Chat	The smallest positive eigenvalue of fibered hyperbolic 3‐manifolds	2019	Hyungryul Baik Ilya Gekhtman Ursula Hamenstädt
+	Entropy and drift for Gibbs measures on geometrically finite manifolds	2019	Ilya Gekhtman Giulio Tiozzo
+ PDF Chat	Critical exponents of invariant random subgroups in negative curvature	2019	Ilya Gekhtman Arie Levit
+	Invariant random subgroups of rank 1 Lie groups and hyperbolic groups and their growth rates.	2019	Ilya Gekhtman Arie Levit
+	Stability phenomena for Martin boundaries of relatively hyperbolic groups	2019	Matthieu Dussaule Ilya Gekhtman
+	Entropy and drift for Gibbs measures on geometrically finite manifolds	2019	Ilya Gekhtman Giulio Tiozzo
+	A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture	2018	Ilya Gekhtman S. J. Taylor Giulio Tiozzo
+	Critical exponents of invariant random subgroups in negative curvature	2018	Ilya Gekhtman Arie Levit
+ PDF Chat	Counting loxodromics for hyperbolic actions	2018	Ilya Gekhtman S. J. Taylor Giulio Tiozzo
+	Entropy and drift for word metric on relatively hyperbolic groups	2018	Matthieu Dussaule Ilya Gekhtman
+	A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture	2018	Ilya Gekhtman Samuel J. Taylor Giulio Tiozzo
+	Critical exponents of invariant random subgroups in negative curvature	2018	Ilya Gekhtman Arie Levit
+	Counting conjugacy classes in groups with contracting elements	2018	Ilya Gekhtman Wen-yuan Yang
+	Counting problems in graph products and relatively hyperbolic groups	2017	Ilya Gekhtman S. J. Taylor Giulio Tiozzo
+ PDF Chat	Exponential Torsion Growth for Random 3-Manifolds	2017	Hyungryul Baik David R. Bauer Ilya Gekhtman Ursula Hamenstädt Sebastian Hensel Thorben Kastenholz Bram Petri Daniel Peña Valenzuela
+	Martin boundary covers Floyd boundary	2017	Ilya Gekhtman Victor Gerasimov Leonid Potyagailo Wenyuan Yang
+	Equidistribution of closed geodesics along random walk trajectories with respect to the harmonic invariant measure	2017	Ilya Gekhtman
+	Counting problems in graph products and relatively hyperbolic groups	2017	Ilya Gekhtman Samuel J. Taylor Giulio Tiozzo
+	The Martin boundary of relatively hyperbolic groups with virtually abelian parabolic subgroups	2017	Matthieu Dussaule Ilya Gekhtman Victor Gerasimov Leonid Potyagailo
+	Exponential Torsion Growth for Random 3-Manifolds	2016	Hyungryul Baik David R. Bauer Ilya Gekhtman Ursula Hamenstädt Sebastian Hensel Thorben Kastenholz Bram Petri Daniel Peña Valenzuela
+	Exponential Torsion Growth for Random 3-Manifolds	2016	Hyungryul Baik David R. Bauer Ilya Gekhtman Ursula Hamenstädt Sebastian Hensel Thorben Kastenholz Bram Petri Daniel Peña Valenzuela
+	Stable Type of the Mapping Class Group	2013	Ilya Gekhtman
+	Stable Type of the Mapping Class Group	2013	Ilya Gekhtman
+	Dynamics of Convex Cocompact Subgroups of Mapping Class Groups	2012	Ilya Gekhtman

Common Coauthors

Coauthor	Papers Together
Giulio Tiozzo	14
Matthieu Dussaule	9
S. J. Taylor	9
Arie Levit	5
Hyungryul Baik	4
Leonid Potyagailo	4
Ursula Hamenstädt	4
Victor Gerasimov	3
Thorben Kastenholz	3
Sebastian Hensel	3
Daniel Peña Valenzuela	3
Wenyuan Yang	3
David R. Bauer	3
Bram Petri	3
Samuel J. Taylor	2
Matthew Cordes	2
Wen-yuan Yang	1
Victor Gerasimov	1
Adam Dor-On	1
Kasra Rafi	1
Yulan Qing	1
Biao Ma	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Poisson Formula for Groups with Hyperbolic Properties	2000	Vadim A. Kaimanovich	7
+ PDF Chat	Random walks on weakly hyperbolic groups	2016	Joseph Maher Giulio Tiozzo	7
+ PDF Chat	Combable functions, quasimorphisms, and the central limit theorem	2009	Danny Calegari Koji Fujiwara	6
+ PDF Chat	Entropy and drift in word hyperbolic groups	2018	Sébastien Gouëzel Frédéric Mathéus François Maucourant	6
+ PDF Chat	Mesures de Patterson-Sullivan sur le bord d’un espace hyperbolique au sens de Gromov	1993	Michel Coornaert	6
+ PDF Chat	Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems	2006	D. Osin	5
+	The combinatorial structure of cocompact discrete hyperbolic groups	1984	JamesW. Cannon	5
+	Martin boundary covers Floyd boundary	2017	Ilya Gekhtman Victor Gerasimov Leonid Potyagailo Wenyuan Yang	5
+ PDF Chat	Counting loxodromics for hyperbolic actions	2018	Ilya Gekhtman S. J. Taylor Giulio Tiozzo	5
+	On Some Aspects of the Theory of Anosov Systems	2004	G. A. Margulis	4
+	Tight geodesics in the curve complex	2007	Brian H. Bowditch	4
+ PDF Chat	Finite covers of random 3-manifolds	2006	Nathan M. Dunfield William P. Thurston	4
+ PDF Chat	RELATIVELY HYPERBOLIC GROUPS	2011	Β. H. Bowditch	4
+	Hyperbolic Groups	1987	M. Gromov	4
+ PDF Chat	Comparison theorems and orbit counting in hyperbolic geometry	1998	Mark Pollicott Richard Sharp	4
+ PDF Chat	Harmonic measures versus quasiconformal measures for hyperbolic groups	2011	Sébastien Blachère Peter Haı̈ssinsky Pierre Mathieu	4
+	Metric Spaces of Non-Positive Curvature	1999	Martin R. Bridson André Haefliger	4
+ PDF Chat	The density at infinity of a discrete group of hyperbolic motions	1979	Dennis Sullivan	4
+ PDF Chat	Quasi-isometric maps and Floyd boundaries of relatively hyperbolic groups	2013	Victor Gerasimov Leonid Potyagailo	4
+ PDF Chat	Relative hyperbolicity and relative quasiconvexity for countable groups	2010	G. Christopher Hruska	4
+ PDF Chat	The Ergodic Theory of Hyperbolic Groups	2013	Danny Calegari	4
+ PDF Chat	Harmonicity of Quasiconformal Measures and Poisson Boundaries of Hyperbolic Spaces	2007	Chris Connell Roman Muchnik	4
+	Coarse-Geometric Perspective on Negatively Curved Manifolds and Groups	2002	Alex Furman	4
+ PDF Chat	Statistically Convex-Cocompact Actions of Groups with Contracting Elements	2018	Wenyuan Yang	4
+ PDF Chat	Internal Diffusion Limited Aggregation on Discrete Groups Having Exponential Growth	2006	Sébastien Blachère Sara Brofferio	4
+ PDF Chat	Contracting boundaries of CAT(0) spaces	2014	Ruth Charney Harold Mark Sultan	3
+	GIBBS MEASURES IN ERGODIC THEORY	1972	Yakov G. Sinai	3
+ PDF Chat	Geometry and Dynamics in Gromov Hyperbolic Metric Spaces	2017	Tushar Das David Simmons Mariusz Urbański	3
+	Martin boundaries and random walks	1997	Stanley Sawyer	3
+ PDF Chat	Deviation inequalities for random walks	2020	Pierre Mathieu Alessandro Sisto	3
+	Acylindrically hyperbolic groups	2015	D. Osin	3
+ PDF Chat	Random walks on the mapping class group	2011	Joseph Maher	3
+ PDF Chat	Contracting elements and random walks	2016	Alessandro Sisto	3
+	A Primer on Mapping Class Groups (PMS-49)	2017	Benson Farb Dan Margalit	3
+	Positive harmonic functions and hyperbolicity	1988	Alano Ancona	3
+ PDF Chat	Experiments Suggesting That the Distribution of the Hyperbolic Length of Closed Geodesics Sampling by Word Length Is Gaussian	2013	Moira Chas Keren Li Bernard Maskit	3
+ PDF Chat	Dimension of harmonic measures in hyperbolic spaces	2017	Ryokichi Tanaka	3
+	Uniquely ergodic quadratic differentials	1980	Howard Masur	3
+	Applications of Dynamics to Compact Manifolds of Negative Curvature	1995	François Ledrappier	3
+ PDF Chat	Self-intersections in combinatorial topology: statistical structure	2011	Moira Chas Steven P. Lalley	3
+ PDF Chat	Divergence and quasimorphisms of right-angled Artin groups	2011	Jason Behrstock Ruth Charney	3
+	Relatively Hyperbolic Groups	1998	Benson Farb	3
+ PDF Chat	The limit set of a Fuchsian group	1976	S. J. Patterson	3
+	Zeta functions and the periodic orbit structure of hyperbolic dynamics	1990	William Parry Mark Pollicott	3
+	Dynamic theory of growth in groups: Entropy, boundaries, examples	2000	A. M. Vershik	3
+	Sur les Groupes Hyperboliques d’après Mikhael Gromov	1990	Étienne Ghys Pierre de la Harpe	3
+ PDF Chat	Geometry of the complex of curves I: Hyperbolicity	1999	Howard Masur Yair N. Minsky	3
+ PDF Chat	Tree-graded spaces and asymptotic cones of groups	2005	Cornelia Druţu Mark Sapir	3
+ PDF Chat	Harmonicity of Gibbs measures	2007	Chris Connell Roman Muchnik	3
+	The Classical Groups and K-Theory	1989	Alexander J. Hahn O. Timothy O’Meara	2