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pro vyhledávání: '"Saussol, Benoit"'
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:
Saussol, Benoit, Boos, Arthur
The Keplerian shear was introduced within the context of measure preserving dynamical systemsby Damien Thomine, as a version of mixing for non ergodic systems. In this study we providea characterization of the Keplerian shear using Rajchman measure,
Externí odkaz:
http://arxiv.org/abs/2309.10437
A few recent papers introduced the concept of topological synchronisation. We refer in particular to \cite{TS}, where the theory was illustrated by means of a skew product system, coupling two logistic maps. In this case, we show that the topological
Externí odkaz:
http://arxiv.org/abs/2210.07941
Autor:
Crimmins, Harry, Saussol, Benoît
In this paper we study the quenched distributions of hitting times for a class of random dynamical systems. We prove that hitting times to dynamically defined cylinders converge to a Poisson point process under the law of random equivariant measures
Externí odkaz:
http://arxiv.org/abs/2011.13610
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, Françoise, Saussol, Benoit
For many measure preserving dynamical systems $(\Omega,T,m)$ the successive hitting times to a small set is well approximated by a Poisson process on the real line. In this work we define a new process obtained from recording not only the successive
Externí odkaz:
http://arxiv.org/abs/1803.06865
We prove a large deviation result for return times of the orbits of a dynamical system in a $r$-neighbourhood of an initial point $x$. Our result may be seen as a differentiable version of the work by Jain and Bansal who considered the return time of
Externí odkaz:
http://arxiv.org/abs/1801.06413
We study for the first time linear response for random compositions of maps, chosen independently according to a distribution $\PP$. We are interested in the following question: how does an absolutely continuous stationary measure (acsm) of a random
Externí odkaz:
http://arxiv.org/abs/1710.03706
Akademický článek
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Autor:
Bahsoun, Wael, Saussol, Benoît
We provide a general framework to study differentiability of SRB measures for one dimensional non-uniformly expanding maps. Our technique is based on inducing the non-uniformly expanding system to a uniformly expanding one, and on showing how the lin
Externí odkaz:
http://arxiv.org/abs/1512.01080