, Volume 146, Issue 2, pp 357-396

Ergodic systems ofn balls in a billiard table

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Abstract

We consider the motion ofn 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 theK-property. These are the first systems of interacting particles proven to be ergodic for an arbitrary number of particles.

Communicated by Ya. G. Sinai