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Proof of the Kurlberg-Rudnick Rate Conjecture

Shamgar Gurevich·Ronny Hadani
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Abstract

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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Shamgar Gurevich, Ronny Hadani. 2005-11-17. Proof of the Kurlberg-Rudnick Rate Conjecture. https://doi.org/10.1063/1.2193112

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