Abstract
We summarize the results of several recent papers, together with a few new results, which rely on a connection between semi-dispersing billiards and non-regular Riemannian geometry. We use this connection to solve several open problems about the existence of uniform estimates on the number of collisions, topological entropy and periodic trajectories of such billiards.
Original language | English (US) |
---|---|
Pages (from-to) | 303-319 |
Number of pages | 17 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 18 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1998 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics