Damien Thomine

most citedA spectral gap for transer operators of piecewise expanding maps

3 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2021

Potential theory and $Z^{d}$ -extensions

Damien Thomine

We study hitting probabilities for $Z^{d}$ -extensions of Gibbs-Markov maps. The goal is to estimate, given a finite $Σ \subset Z^{d}$ and $p$ , $q \in Σ$ , the probabili…

math.DS2010★ 3 cited

A spectral gap for transer operators of piecewise expanding maps

Damien Thomine

We provide a simplified proof of the existence, under some assumptions, of a spectral gap for the Perron-Frobenius operator of piecewise uniformly expanding maps on Riemannian mani…

Potential theory and Zd-extensions

A spectral gap for transer operators of piecewise expanding maps

Potential theory and $Z^{d}$ -extensions