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The Higher-Dimensional Rudnick-Kurlberg Conjecture

Shamgar Gurevich, Ronny Hadani

math-pharXiv:math-ph/0409031

Abstract

In this paper we give a proof of the Hecke quantum unique ergodicity conjecture for the multidimensional Berry-Hannay model. A model of quantum mechanics on the 2n-dimensional torus. This result generalizes the proof of the Rudnick-Kurlberg Conjecture given in GH3 for the 2-dimensional torus.

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