We consider the motion of n balls in billiard tables of a special form and we prove that the resulting dynamical systems are ergodic on a constant energy surface; in fact, they enjoy the K-property. These are the first systems of interacting particles proven to be ergodic for an arbitrary number of particles.
|Original language||English (US)|
|Number of pages||40|
|Journal||Communications In Mathematical Physics|
|State||Published - May 1992|
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics