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.
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Bunimovich, L., Liverani, C., Pellegrinotti, A. et al. Ergodic systems ofn balls in a billiard table. Commun.Math. Phys. 146, 357–396 (1992). https://doi.org/10.1007/BF02102633
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DOI: https://doi.org/10.1007/BF02102633