Proof of the Kurlberg-Rudnick Rate Conjecture

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

2004-04-29

arxiv.org/abs/math-ph/0404074v7

Physics

Mathematical Physics

In this version we add a proof that the character sheaf of the Heisenberg-Weil representation is perverse, geometrically irred

Scientific paper

In this paper we present a proof of the {\it Hecke quantum unique ergodicity
rate conjecture} for the Berry-Hannay model. A model of quantum mechanics on
the 2-dimensional torus. This conjecture was stated in Z. Rudnick's lectures at
MSRI, Berkeley 1999 and ECM, Barcelona 2000.

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