Abstract
Given a strictly convex plane curve, the dual billiard transformation is the transformation of its exterior defined as follows: given a point x outside the curve, draw a support line to it from the point and reflect x at the support point. We show that the dual billiard transformation far from the curve is well approximated by the time 1 transformation of a Hamiltonian flow associated with the curve.
Original language | English (US) |
---|---|
Pages (from-to) | 27-37 |
Number of pages | 11 |
Journal | Journal of Statistical Physics |
Volume | 83 |
Issue number | 1-2 |
DOIs | |
State | Published - Apr 1996 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics