Zobrazeno 1 - 10
of 204
pro vyhledávání: '"Pène, Françoise"'
Autor:
Pène, Françoise
This work is a contribution to the study of the ergodic and stochastic properties of Z^d-periodic dynamical systems preserving an infinite measure. We establish functional limit theorems for natural Birkhoff sums related to local times of the Z^d-per
Externí odkaz:
http://arxiv.org/abs/2312.02689
Autor:
Pène, Françoise, Saussol, Benoit
We are interested in the study of the asymptotic behaviour of return times in small balls for the $T,T^{-1}$-transformation. We exhibit different asymptotic behaviours (different scaling, different limit point process) depending on the respective dim
Externí odkaz:
http://arxiv.org/abs/2310.17969
Autor:
Pène, Françoise, Terhesiu, Dalia
We establish strong mixing for the $\mathbb Z^d$-periodic, infinite horizon, Lorentz gas flow for continuous observables with compact support. The essential feature of this natural class of observables is that their support may contain points with in
Externí odkaz:
http://arxiv.org/abs/2302.04254
Publikováno v:
J. d'Analyse Math. 152 (2024) 283-316
We prove local large deviations for the periodic infinite horizon Lorentz gas viewed as a ${\mathbb Z}^d$-cover ($d=1,2$) of a dispersing billiard. In addition to this specific example, we prove a general result for a class of nonuniformly hyperbolic
Externí odkaz:
http://arxiv.org/abs/2108.13748
Autor:
Pene, Françoise
We study the asymptotic behaviour of additive functionals of random walks in random scenery. We establish bounds for the moments of the local time of the Kesten and Spitzer process.These bounds combined with a previous moment convergence result (and
Externí odkaz:
http://arxiv.org/abs/2101.00890
Autor:
Fernando, Kasun, Pène, Françoise
We study higher order expansions both in the Berry-Ess\'een estimate (Edgeworth expansions) and in the local limit theorems for Birkhoff sums of chaotic probability preserving dynamical systems. We establish general results under technical assumption
Externí odkaz:
http://arxiv.org/abs/2008.08726
Autor:
Pène, Françoise, Saussol, Benoit
The goal of this article is to point out the importance of spatio-temporal processes in different questions of quantitative recurrence. We focus on applications to the study of the number of visits to a small set before the first visit to another set
Externí odkaz:
http://arxiv.org/abs/2007.16067
Autor:
Pène, Francoise, Terhesiu, Dalia
We obtain sharp error rates in the local limit theorem for the Sinai billiard map (one and two dimensional) with infinite horizon. This result allows us to further obtain higher order terms and thus, sharp mixing rates in the speed of mixing of dynam
Externí odkaz:
http://arxiv.org/abs/2001.02270
Autor:
Pène, Françoise, Thomine, Damien
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 the property that induced maps preserve the restriction of the original
Externí odkaz:
http://arxiv.org/abs/1909.05518
Autor:
Pène, Françoise, Thomine, Damien
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 sums of observables of $\mathbb{Z}^2$-extensions of dynamical systems (sa
Externí odkaz:
http://arxiv.org/abs/1909.05514