704 citations · 2.4k across the 64 of their papers we have counts for
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math.DS2020★ 1 cited
The fundamental inequality for cocompact Fuchsian groups
Petr Kosenko, Giulio Tiozzo
We prove that the hitting measure is singular with respect to Lebesgue measure for any random walk on a cocompact Fuchsian group generated by translations joining opposite sides of…
math.DS2020
Central limit theorems for counting measures in coarse negative curvature
Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo
We establish central limit theorems for an action of a group G on a hyperbolic space X with respect to the counting measure on a Cayley graph of G. Our techniques allow us to remov…
math.DS2020
A central limit theorem for the degree of a random product of Cremona transformations
Nguyen-Bac Dang, Giulio Tiozzo
We prove a central limit theorem for the algebraic and dynamical degrees of a random composition of Cremona transformations.