Abstract. We study polygonal billiards with one-sided vertical mirror scat-tered on a square billiard table. We associate trajectories of these kinds of billiards with double rotations and study orbit behavior and questions of com-plexity. 1
We consider convex polygonal billiards with a reflection law that contracts the reflection angle to...
In this paper we define and study certain piecewise affine maps of the infinite strip, which we call...
We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors wit...
International audienceWe study polygonal billiards with one-sided vertical mirror scattered on a squ...
In this note, we examine the dynamics of billiards on polygonal tables. This is intended to be neith...
In this paper we try to clarify some ambiguities in Jozef Bobok and Serge Troubrtzkoy’s paper.[1] An...
We provide an overview of recent results concerning the dynamics of polygonal billiards with strongl...
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off ...
Abstract. We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attr...
Billiards, the study of a ball bouncing around on a table, is a rich area of current mathematical re...
Abstract. We study polygonal billiards with reflection laws con-tracting the reflected angle towards...
Abstract. We consider convex polygonal billiards with a reflec-tion law that contracts the reflectio...
In this thesis we provide a new framework for the study of polygonal billiards. To every polygonal b...
AbstractWe study the geometry of billiard orbits on rectangular billiards. A truncated billiard orbi...
We develop a framework for dealing with smooth approximations to billiards with corners in the two-d...
We consider convex polygonal billiards with a reflection law that contracts the reflection angle to...
In this paper we define and study certain piecewise affine maps of the infinite strip, which we call...
We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors wit...
International audienceWe study polygonal billiards with one-sided vertical mirror scattered on a squ...
In this note, we examine the dynamics of billiards on polygonal tables. This is intended to be neith...
In this paper we try to clarify some ambiguities in Jozef Bobok and Serge Troubrtzkoy’s paper.[1] An...
We provide an overview of recent results concerning the dynamics of polygonal billiards with strongl...
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off ...
Abstract. We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attr...
Billiards, the study of a ball bouncing around on a table, is a rich area of current mathematical re...
Abstract. We study polygonal billiards with reflection laws con-tracting the reflected angle towards...
Abstract. We consider convex polygonal billiards with a reflec-tion law that contracts the reflectio...
In this thesis we provide a new framework for the study of polygonal billiards. To every polygonal b...
AbstractWe study the geometry of billiard orbits on rectangular billiards. A truncated billiard orbi...
We develop a framework for dealing with smooth approximations to billiards with corners in the two-d...
We consider convex polygonal billiards with a reflection law that contracts the reflection angle to...
In this paper we define and study certain piecewise affine maps of the infinite strip, which we call...
We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors wit...