Skip navigation
Skip navigation

Ergodic billiards that are not quantum unique ergodic

Hassell, Andrew


Partially rectangular domains are compact two-dimensional Riemannian manifolds X, either closed or with boundary, that contain a flat rectangle or cylinder. In this paper we are interested in partially rectangular domains with ergodic billiard flow; examples are the Bunimovich stadium, the Sinai billiard or Donnelly surfaces. We consider a one-parameter family Xt of such domains parametrized by the aspect ratio t of their rectangular part. There is convincing theoretical and numerical evidence...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Annals of Mathematics
DOI: 10.4007/annals.2010.171.605


File Description SizeFormat Image
01_Hassell_Ergodic_billiards_that_are_not_2010.pdf791.27 kBAdobe PDF    Request a copy

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator