Generic properties of periodic reflecting rays
- 1 December 1987
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 7 (4) , 597-609
- https://doi.org/10.1017/s0143385700004223
Abstract
It is shown that for generic domains D in n, n ≥ 2, every periodic billiard trajectory in D passes only once through each of its reflection points, and any two different periodic billiard trajectories in D have no common reflection point.Keywords
This publication has 1 reference indexed in Scilit:
- Can One Hear the Shape of a Drum?The American Mathematical Monthly, 1966