Proving the ergodic hypothesis for billiards with disjoint cylindric scatterers

Academic Article

Abstract

  • We study the ergodic properties of mathematical billiards describing the uniform motion of a point in a flat torus from which finitely many, pairwise disjoint, tubular neighbourhoods of translated subtori (the so-called cylindric scatterers) have been removed. We prove that every such system is ergodic (actually, a Bernoulli flow), unless a simple geometric obstacle for the ergodicity is present.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Simanyi N
  • Start Page

  • 1
  • End Page

  • 21
  • Volume

  • 17
  • Issue

  • 1