Ergodic billiards that are not quantum unique ergodic
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Description
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]
Collections | ANU Research Publications |
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Date published: | 2010 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/49476 |
Source: | Annals of Mathematics |
DOI: | 10.4007/annals.2010.171.605 |
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01_Hassell_Ergodic_billiards_that_are_not_2010.pdf | 791.27 kB | Adobe PDF | Request a copy |
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