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Ilya Gekhtman
Ilya Gekhtman
Unknown affiliation
Verified email at math.uchicago.edu
Title
Cited by
Cited by
Year
Martin boundary covers Floyd boundary
I Gekhtman, V Gerasimov, L Potyagailo, W Yang
Inventiones mathematicae 223, 759-809, 2021
322021
Counting loxodromics for hyperbolic actions
I Gekhtman, SJ Taylor, G Tiozzo
Journal of Topology 11 (2), 379-419, 2018
252018
The Martin boundary of relatively hyperbolic groups with virtually abelian parabolic subgroups
M Dussaule, I Gekhtman, V Gerasimov, L Potyagailo
L’Enseignement Mathématique 66 (3), 341-382, 2021
142021
Entropy and drift for word metrics on relatively hyperbolic groups
M Dussaule, I Gekhtman
Groups, Geometry, and Dynamics 14 (4), 1455-1509, 2020
142020
Counting problems in graph products and relatively hyperbolic groups
I Gekhtman, SJ Taylor, G Tiozzo
Israel Journal of Mathematics 237, 311-371, 2020
142020
The smallest positive eigenvalue of fibered hyperbolic 3‐manifolds
H Baik, I Gekhtman, U Hamenstädt
Proceedings of the London Mathematical Society 120 (5), 704-741, 2020
132020
Entropy and drift for Gibbs measures on geometrically finite manifolds
I Gekhtman, G Tiozzo
Transactions of the American Mathematical Society 373 (4), 2949-2980, 2020
112020
Central limit theorems for counting measures in coarse negative curvature
I Gekhtman, SJ Taylor, G Tiozzo
Compositio Mathematica 158 (10), 1980-2013, 2022
92022
Stability phenomena for Martin boundaries of relatively hyperbolic groups
M Dussaule, I Gekhtman
Probability Theory and Related Fields 179 (1), 201-259, 2021
92021
A central limit theorem for random closed geodesics: proof of the Chas–Li–Maskit conjecture
I Gekhtman, SJ Taylor, G Tiozzo
Advances in Mathematics 358, 106852, 2019
82019
Exponential torsion growth for random 3-manifolds
H Baik, D Bauer, I Gekhtman, U Hamenstädt, S Hensel, T Kastenholz, ...
International Mathematics Research Notices 2018 (21), 6497-6534, 2018
82018
Counting conjugacy classes in groups with contracting elements
I Gekhtman, W Yang
Journal of Topology 15 (2), 620-665, 2022
72022
An embedding of the Morse boundary in the Martin boundary
M Cordes, M Dussaule, I Gekhtman
Algebraic & Geometric Topology 22 (3), 1217-1253, 2022
62022
Dynamics of convex cocompact subgroups of mapping class groups
I Gekhtman
The University of Chicago, 2014
62014
Genericity of sublinearly Morse directions in CAT (0) spaces and the Teichm\" uller space
I Gekhtman, Y Qing, K Rafi
arXiv preprint arXiv:2208.04778, 2022
52022
Critical exponents of invariant random subgroups in negative curvature
I Gekhtman, A Levit
Geometric and Functional Analysis 29 (2), 411-439, 2019
52019
Counting conjugacy classes in groups with contracting elements
I Gekhtman, W Yang
arXiv preprint arXiv:1810.02969, 2018
52018
Stable type of the mapping class group
I Gekhtman
arXiv preprint arXiv:1310.5364, 2013
52013
Equidistribution of closed geodesics along random walk trajectories with respect to the harmonic invariant measure
I Gekhtman
arXiv preprint arXiv:1711.04985, 2017
32017
QI-invariant model of Poisson boundaries of CAT (0) groups
I Gekhtman, Y Qing, K Rafi
preparation, 2022
22022
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