3 citations · 5 across the 5 of their papers we have counts for
8 papers
Potential theory and -extensions
Damien Thomine
We study hitting probabilities for -extensions of Gibbs-Markov maps. The goal is to estimate, given a finite and , , the probabili…
Sinai billiard maps with Ruelle resonances
Damien Thomine
We construct families of two-dimensional Sinai billiards whose transfer operators have Ruelle resonances arbitrarily close to 1. Our method involves taking a large enough cover of…
Probabilistic potential theory and induction of dynamical systems
Françoise Pène, Damien Thomine
In this article, we outline a version of a balayage formula in probabilistic potential theory adapted to measure-preserving dynamical systems. This balayage identity generalizes th…
Central limit theorems for the -periodic Lorentz gas
Françoise Pène, Damien Thomine
This paper is devoted to the study of the stochastic properties of dynamical systems preserving an infinite measure. More precisely we prove central limit theorems for Birkhoff sum…
Ratio ergodic theorems: From Hopf to Birkhoff and Kingman
Hans Henrik Rugh, Damien Thomine
Hopf's ratio ergodic theorem has an inherent symmetry which we exploit to provide a simplification of standard proofs of Hopf's and Birkhoff's ergodic theorems. We also present a r…
Keplerian shear in ergodic theory
Damien Thomine
Many integrable physical systems exhibit Keplerian shear. We look at this phenomenon from the point of view of ergodic theory, where it can be seen as mixing conditionally to an in…
Potential kernel, hitting probabilities and distributional asymptotics
Francoise Pene, Damien Thomine
Z^d-extensions of probability-preserving dynamical systems are themselves dynamical systems preserving an infinite measure, and generalize random walks. Using the method of moments…
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…