Ergodic properties of semi-dispersing billiards. I. Two cylindric scatterers in the 3D torus

Academic Article

Abstract

  • The K-mixing property is proved for the simplest, non-trivial semi-dispersing billiard: that on the 3D torus with two cylindric scatterers (systems of elastic hard spheres can be represented as higher-dimensional toric billiards with cylindric scatterers). They also provide a method for a stronger, topological description of a constructively defined zero-measure set of points not necessarily belonging to open ergodic components because only this set could separate the ergodic components. © 1989 IOP Publishing Ltd and LMS Publishing Ltd.
  • Authors

    Published In

  • Nonlinearity  Journal
  • Digital Object Identifier (doi)

    Author List

  • Krámlit A; Simányi N; Szász D
  • Start Page

  • 311
  • End Page

  • 326
  • Volume

  • 2
  • Issue

  • 2