Geodesic
Ergodic billiards that are not quantum unique ergodic (with an appendix by Andrew Hassell and Luc Hillairet)
Andrew Hassell1 ; Luc Hillairet2
1Department of Mathematics, Australian National University, Canberra 0200 ACT, Australia
2UMR CNRS 6629-Université de Nantes, 2 rue de la Houssinière, BP 92 208, F-44 322 Nantes Cedex 3, France
Annals of mathematics, Tome 171 (2010) no. 1, pp. 605-618
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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.

DOI : 10.4007/annals.2010.171.605

Andrew Hassell  1   ; Luc Hillairet  2

1 Department of Mathematics, Australian National University, Canberra 0200 ACT, Australia
2 UMR CNRS 6629-Université de Nantes, 2 rue de la Houssinière, BP 92 208, F-44 322 Nantes Cedex 3, France 
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Andrew Hassell; Luc Hillairet. Ergodic billiards that are not quantum unique ergodic (with an appendix by Andrew Hassell and Luc Hillairet). Annals of mathematics, Tome 171 (2010) no. 1, pp. 605-618. doi: 10.4007/annals.2010.171.605

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