Given a finite generating set $ S $, let us endow the mapping class group of a closed
hyperbolic surface with the word metric for $ S $. We discuss the following question: does …

We study random walks on the isometry group of a Gromov hyperbolic space or Teichmüller
space. We prove that the translation lengths of random isometries satisfy a central limit …

We are interested in the Guivarc'h inequality for admissible random walks on finitely
generated relatively hyperbolic groups, endowed with a word metric. We show that for …

We establish central limit theorems for an action of a group. Our techniques allow us to
remove the usual assumptions of properness and smoothness of the space, or …

We show that pseudo-Anosov mapping classes are generic in every Cayley graph of the
mapping class group of a finite-type hyperbolic surface. Our method also yields an …

Motivated by the notion of cusp excursion in geometrically finite hyperbolic manifolds, we
define a notion of excursion in any subgroup of a given group and study its asymptotic …

A central limit theorem for random closed geodesics: Proof of the Chas–Li–Maskit
conjecture - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Using techniques from ergodic theory and symbolic dynamics, we derive statistical limit laws
for real valued functions on hyperbolic groups. In particular, our results apply to convex …

We prove that for any infinite right-angled Coxeter or Artin group, its spherical and geodesic
growth rates (with respect to the standard generating set) either take values in the set of …

Equidistribution of hyperbolic groups in homogeneous spaces | Mathematische Annalen Skip
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