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Billiards with polynomial decay of correlations

  • ROBERTO MARKARIAN (a1)

Abstract

We prove that the billiard map in a Bunimovich stadium has polynomial decay of correlations of the order of n-1. Ergodic Bunimovich-type billiards (two arcs not bigger than half a circle) that do not have trajectories with infinitely many consecutive bounces on straight lines satisfy the same property. We also prove that a very particular class of these billiards have polynomial decay of correlations of the order of n-2.

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Billiards with polynomial decay of correlations

  • ROBERTO MARKARIAN (a1)

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