Add to ORKGUsing recent work of Carrand on equilibrium states for the billiard map, and bootstrapping via a "leapfrogging" method from a previous article of Baladi and Demers, we construct the unique measure of maximal entropy for two-dimensional finite horizon Sinai (dispersive) billiard flows (and show it is Bernoulli), assuming that the topological entropy of the flow is strictly larger than s_0 log 2 where 0<s_0<1 quantifies the recurrence to singularities. This bound holds in many examples (it is expected to hold generically)
We prove exponential decay of correlations for the billiard flow associated with a two-dimensional f...
We prove exponential decay of correlations for the billiard flow associated with a two-dimensional f...
We prove exponential decay of correlations for the billiard flow associated with a two-dimensional f...
59 pages, 3 FiguresInternational audienceThe Sinai billiard map $T$ on the two-torus, i.e., the pe...
Using recent work of Carrand on equilibrium states for the billiard map, and bootstrapping via a "le...
The Sinai billiard map $T$ on the two-torus, i.e., the periodic Lorentz gas, is a discontinuous map....
arXiv admin note: substantial text overlap with arXiv:1807.02330 by other authorsThe Sinai billiard ...
arXiv admin note: substantial text overlap with arXiv:1807.02330 by other authorsThe Sinai billiard ...
This thesis is divided into two parts. In the first part, we give a short proof showing that the gro...
We estimate from below the topological entropy of the Bunimovich stadium billiards. We do it for lon...
In version 2 an appendix has been added and some notation has been improved.We show that the topolog...
We prove that billiard flows on strictly convex tables with a sufficiently small circular scatterer...
We show that the topological entropy of the billiard map in a Bunimovich stadium is at most log(3.49...
AbstractWe present in this paper an approach to studying the topological entropy of a class of billi...
Equilibrium States are measures that maximizes some variational princi-ples. The problems of find su...
We prove exponential decay of correlations for the billiard flow associated with a two-dimensional f...
We prove exponential decay of correlations for the billiard flow associated with a two-dimensional f...
We prove exponential decay of correlations for the billiard flow associated with a two-dimensional f...
59 pages, 3 FiguresInternational audienceThe Sinai billiard map $T$ on the two-torus, i.e., the pe...
Using recent work of Carrand on equilibrium states for the billiard map, and bootstrapping via a "le...
The Sinai billiard map $T$ on the two-torus, i.e., the periodic Lorentz gas, is a discontinuous map....
arXiv admin note: substantial text overlap with arXiv:1807.02330 by other authorsThe Sinai billiard ...
arXiv admin note: substantial text overlap with arXiv:1807.02330 by other authorsThe Sinai billiard ...
This thesis is divided into two parts. In the first part, we give a short proof showing that the gro...
We estimate from below the topological entropy of the Bunimovich stadium billiards. We do it for lon...
In version 2 an appendix has been added and some notation has been improved.We show that the topolog...
We prove that billiard flows on strictly convex tables with a sufficiently small circular scatterer...
We show that the topological entropy of the billiard map in a Bunimovich stadium is at most log(3.49...
AbstractWe present in this paper an approach to studying the topological entropy of a class of billi...
Equilibrium States are measures that maximizes some variational princi-ples. The problems of find su...
We prove exponential decay of correlations for the billiard flow associated with a two-dimensional f...
We prove exponential decay of correlations for the billiard flow associated with a two-dimensional f...
We prove exponential decay of correlations for the billiard flow associated with a two-dimensional f...