%0 Journal Article
%T Proving The Ergodic Hypothesis for Billiards With Disjoint Cylindric Scatterers
%A Nandor Simanyi
%J Mathematics
%D 2002
%I arXiv
%R 10.1088/0951-7715/17/1/001
%X In this paper 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 neighborhoods 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.
%U http://arxiv.org/abs/math/0207223v3