Add to ORKGAbstract. We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors with countably many ergodic SRB measures. These measures are robust under small perturbations of the reflection law, and the tables for which they exist form a generic set in the space of all convex polygons. Specific polygonal tables are studied in detail. 1
In this note, we examine the dynamics of billiards on polygonal tables. This is intended to be neith...
We construct a two-parameter family of moon-shaped billiard tables with boundary made of two circula...
We study a class of planar billiards having the remarkable property that their phase space consists ...
We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors wit...
Abstract. We study polygonal billiards with reflection laws con-tracting the reflected angle towards...
We consider polygonal billiards with collisions contracting the reflection angle towards the normal ...
We study polygonal billiards with reflection laws contracting the angle of reflection towards the no...
We consider convex polygonal billiards with a reflection law that contracts the reflection angle to...
Abstract. We consider convex polygonal billiards with a reflec-tion law that contracts the reflectio...
We provide an overview of recent results concerning the dynamics of polygonal billiards with strongl...
This paper is dedicated to the memory of the third author, who unexpectedly passed away while the pa...
In this paper, we study the existence of SRB measures and their properties for infinite dimensional ...
Abstract. We study polygonal billiards with one-sided vertical mirror scat-tered on a square billiar...
Abstract. Polygonal slap maps are piecewise affine expanding maps of the interval obtained by projec...
The purpose of this paper is to study the dynamics of a square billiard with a non-standard reflecti...
In this note, we examine the dynamics of billiards on polygonal tables. This is intended to be neith...
We construct a two-parameter family of moon-shaped billiard tables with boundary made of two circula...
We study a class of planar billiards having the remarkable property that their phase space consists ...
We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors wit...
Abstract. We study polygonal billiards with reflection laws con-tracting the reflected angle towards...
We consider polygonal billiards with collisions contracting the reflection angle towards the normal ...
We study polygonal billiards with reflection laws contracting the angle of reflection towards the no...
We consider convex polygonal billiards with a reflection law that contracts the reflection angle to...
Abstract. We consider convex polygonal billiards with a reflec-tion law that contracts the reflectio...
We provide an overview of recent results concerning the dynamics of polygonal billiards with strongl...
This paper is dedicated to the memory of the third author, who unexpectedly passed away while the pa...
In this paper, we study the existence of SRB measures and their properties for infinite dimensional ...
Abstract. We study polygonal billiards with one-sided vertical mirror scat-tered on a square billiar...
Abstract. Polygonal slap maps are piecewise affine expanding maps of the interval obtained by projec...
The purpose of this paper is to study the dynamics of a square billiard with a non-standard reflecti...
In this note, we examine the dynamics of billiards on polygonal tables. This is intended to be neith...
We construct a two-parameter family of moon-shaped billiard tables with boundary made of two circula...
We study a class of planar billiards having the remarkable property that their phase space consists ...