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math-ph2005
Heisenberg Realizations, Eigenfunctions and Proof of the Kurlberg-Rudnick Supremum Conjecture
Shamgar Gurevich, Ronny Hadani
In this paper, proof of the {\it Kurlberg-Rudnick supremum conjecture} for the quantum Hannay-Berry model is presented. This conjecture was stated in P. Kurlberg's lectures at Bolo…
math-ph2005
Proof of the Kurlberg-Rudnick Rate Conjecture
Shamgar Gurevich, Ronny Hadani
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 c…