Communications in Mathematical Physics

, Volume 175, Issue 3, pp 673–682 | Cite as

Ergodicity of eigenfunctions for ergodic billiards

  • Steven Zelditch
  • Maciej Zworski


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.


Boundary Condition Neural Network Manifold Statistical Physic Complex System 
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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Steven Zelditch
    • 1
  • Maciej Zworski
    • 1
  1. 1.Mathematics DepartmentJohns Hopkins UniversityBaltimoreUSA

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