Approximation and billiards
动力系统
2012-11-29 v2
摘要
This survey is based on a series of talks I gave at the conference "Dynamical systems and diophantine approximation" at l'Instut Henri Poincar\'e in June 2003. I will present asymptotic results (transitivity, ergodicity, weak-mixing) for billiards based on the approximation technique developed by Katok and Zemlyakov. I will also present approximation techniques which allow to prove the abundance of periodic trajectories in certain irrational polygons.
引用
@article{arxiv.math/0611599,
title = {Approximation and billiards},
author = {Serge Troubetzkoy},
journal= {arXiv preprint arXiv:math/0611599},
year = {2012}
}