Proof of the Kurlberg-Rudnick Rate Conjecture

Details Proof of the Kurlberg-Rudnick Rate Conjecture Proof of the Kurlberg-Rudnick Rate Conjecture

2005-10-06

arxiv.org/abs/math-ph/0510027v5

Physics

Mathematical Physics

4 pages, accepted for publication in {\it journal Comptes rendus de l'Academie des sciences- Mathematics} (presented by Michel

Scientific paper

10.1063/1.2193112

In this paper we present a proof of the {\it Hecke quantum unique ergodicity
conjecture} for the Berry-Hannay model, a model of quantum mechanics on a two
dimensional torus. This conjecture was stated in Z. Rudnick's lectures at MSRI,
Berkeley, 1999 and ECM, Barcelona, 2000.

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