A pr 2 00 4 Proof of the Rudnick - Kurlberg Rate

Abstract

In this paper we give a proof of the Hecke quantum unique ergodic-ity rate conjecture for the Berry-Hannay model. A model of quantum mechanics on the 2-dimensional torus. In the paper " Quantization of linear maps on the torus-Fresnel diffrac-tion by a periodic grating " , published in 1980 (see [BH]), the physicists M.V. Berry and J. Hannay explore a model… (More)

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