SRB measures for hyperbolic polygonal billiards
Dynamical Systems
2013-02-07 v1
Abstract
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 polygons. Specific polygonal tables are studied in detail.
Keywords
Cite
@article{arxiv.1302.1462,
title = {SRB measures for hyperbolic polygonal billiards},
author = {Gianluigi Del Magno and João Lopes Dias and Pedro Duarte and José Pedro Gaivão and Diogo Pinheiro},
journal= {arXiv preprint arXiv:1302.1462},
year = {2013}
}
Comments
41 pages, 5 figures