For a random walk on a finitely generated group G we obtain a generalization of a classical
inequality of Ancona. We deduce as a corollary that the identity map on G extends to a …

We prove that the hitting measure is singular with respect to the Lebesgue measure for
random walks driven by finitely supported measures on cocompact, hyperelliptic Fuchsian …

We prove a generalization of the fundamental inequality of Guivarc'h relating entropy, drift
and critical exponent to Gibbs measures on geometrically finite quotients of $ CAT (-1) …

In this paper, we derive an asymptotic formula for the number of conjugacy classes of
elements in a class of statistically convex‐cocompact actions with contracting elements …

Let Γ Γ be a relatively hyperbolic group and let μ μ be an admissible symmetric finitely
supported probability measure on Γ Γ. We extend Floyd–Ancona type inequalities from …

Fundamental Inequality for Hyperbolic Coxeter and Fuchsian Groups Equipped with Geometric
Distances | International Mathematics Research Notices | Oxford Academic Skip to Main …

This is the second of a series of two papers dealing with local limit theorems in relatively
hyperbolic groups. In this second paper, we restrict our attention to non-spectrally …

Let $\Gamma $ be a non-elementary relatively hyperbolic group with a finite generating set.
Consider a finitely supported admissible and symmetric probability measure $\mu $ on …

arXiv:2301.09242v1 [math.PR] 23 Jan 2023 Page 1 arXiv:2301.09242v1 [math.PR] 23 Jan
2023 Asymptotics of the first-passage function on free and Fuchsian groups Petr Kosenko …

We study boundaries arising from limits of ratios of transition probabilities for random walks
on relatively hyperbolic groups. We extend, as well as determine significant limitations of, a …