10 citations · 13 across the 10 of their papers we have counts for
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math.GT2023
Dynamics of subgroups of mapping class groups
Ilya Gekhtman, Biao Ma
Let be the mapping class group of a closed orientable surface of genus . Let be a non-elementary subgroup of so that the associated Bo…
math.GT2018
A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture
Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo
We prove a central limit theorem for the length of closed geodesics in any compact orientable hyperbolic surface. In the special case of a hyperbolic pair of pants, this settles a…
math.GT2017
Counting problems in graph products and relatively hyperbolic groups
Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo
We study properties of generic elements of groups of isometries of hyperbolic spaces. Under general combinatorial conditions, we prove that loxodromic elements are generic (i.e. th…