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
Polygonal slap maps are piecewise affine expanding maps of the interval obtained by projecting the s...
In Bunimovich and Del Magno [Semi-focusing billiards: hyperbolicity. Comm. Math. Phys. 262 (2006), 1...
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in ...
Abstract. We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attr...
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...
We provide an overview of recent results concerning the dynamics of polygonal billiards with strongl...
We consider polygonal billiards with collisions contracting the reflection angle towards the normal ...
Abstract. We consider convex polygonal billiards with a reflec-tion law that contracts the reflectio...
Abstract. We study polygonal billiards with reflection laws con-tracting the reflected angle towards...
The purpose of this paper is to study the dynamics of a square billiard with a non-standard reflecti...
We study a class of planar billiards having the remarkable property that their phase space consists ...
This paper is dedicated to the memory of the third author, who unexpectedly passed away while the pa...
We study dissipative polygonal outer billiards, i.e. outer billiards about convex polygons with a co...
We consider billiards in non-polygonal domains of the plane with boundaryconsisting of curves of thr...
Polygonal slap maps are piecewise affine expanding maps of the interval obtained by projecting the s...
In Bunimovich and Del Magno [Semi-focusing billiards: hyperbolicity. Comm. Math. Phys. 262 (2006), 1...
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in ...
Abstract. We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attr...
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...
We provide an overview of recent results concerning the dynamics of polygonal billiards with strongl...
We consider polygonal billiards with collisions contracting the reflection angle towards the normal ...
Abstract. We consider convex polygonal billiards with a reflec-tion law that contracts the reflectio...
Abstract. We study polygonal billiards with reflection laws con-tracting the reflected angle towards...
The purpose of this paper is to study the dynamics of a square billiard with a non-standard reflecti...
We study a class of planar billiards having the remarkable property that their phase space consists ...
This paper is dedicated to the memory of the third author, who unexpectedly passed away while the pa...
We study dissipative polygonal outer billiards, i.e. outer billiards about convex polygons with a co...
We consider billiards in non-polygonal domains of the plane with boundaryconsisting of curves of thr...
Polygonal slap maps are piecewise affine expanding maps of the interval obtained by projecting the s...
In Bunimovich and Del Magno [Semi-focusing billiards: hyperbolicity. Comm. Math. Phys. 262 (2006), 1...
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in ...