Ergodicity of eigenfunctions for ergodic billiards

Steven Zelditch*, Maciej Zworski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

105 Scopus citations

Abstract

We give a simple proof of ergodicity of eigenfunctions of the Laplacian with Dirichlet boundary conditions on compact Riemannian manifolds with piecewise smooth boundaries and ergodic billiards. Examples include the "Bunimovich stadium", the "Sinai billiard" and the generic polygonal billiard tables of Kerckhoff, Masur and Smillie.

Original languageEnglish (US)
Pages (from-to)673-682
Number of pages10
JournalCommunications in Mathematical Physics
Volume175
Issue number3
DOIs
StatePublished - Jan 1 1996

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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