JOURNAL ARTICLE

Ergodicity of eigenfunctions for ergodic billiards

Steven ZelditchMaciej Zworski

Year: 1996 Journal:   Communications in Mathematical Physics Vol: 175 (3)Pages: 673-682   Publisher: Springer Science+Business Media
Keywords:
Dynamical billiards Ergodicity Ergodic theory Eigenfunction Mathematics Simple (philosophy) Pure mathematics Piecewise Boundary (topology) Dirichlet distribution Mathematical analysis Boundary value problem Physics Geometry Eigenvalues and eigenvectors Quantum mechanics

Metrics

161
Cited By
6.26
FWCI (Field Weighted Citation Impact)
18
Refs
0.97
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Mathematical Dynamics and Fractals
Physical Sciences →  Mathematics →  Mathematical Physics
Quantum chaos and dynamical systems
Physical Sciences →  Physics and Astronomy →  Statistical and Nonlinear Physics
Chaos control and synchronization
Physical Sciences →  Physics and Astronomy →  Statistical and Nonlinear Physics

Related Documents

JOURNAL ARTICLE

Ergodicity in Umbrella Billiards

Maria F. CorreiaChristopher CoxHong-Kun Zhang

Journal:   New Horizons in Mathematical Physics Year: 2017 Vol: 1 (2)
JOURNAL ARTICLE

Semi-focusing billiards: ergodicity

Leonid BunimovichGianluigi Del Magno

Journal:   Ergodic Theory and Dynamical Systems Year: 2008 Vol: 28 (5)Pages: 1377-1417
JOURNAL ARTICLE

Ergodicity of billiards in polygons

З. Д. Воробец

Journal:   Sbornik Mathematics Year: 1997 Vol: 188 (3)Pages: 389-434
BOOK-CHAPTER

Billiards, Conservative Systems and Ergodicity

George DatserisUlrich Parlitz

Undergraduate lecture notes in physics Year: 2022 Pages: 121-136
JOURNAL ARTICLE

Localized eigenfunctions in Šeba billiards

Jonathan P. KeatingJens MarklofBrian Winn

Journal:   Journal of Mathematical Physics Year: 2010 Vol: 51 (6)
© 2026 ScienceGate Book Chapters — All rights reserved.