Proof of the Kurlberg-Rudnick Rate Conjecture
arXiv:math-ph/0510027 · doi:10.1063/1.2193112
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.
4 pages, accepted for publication in {\it journal Comptes rendus de l'Academie des sciences- Mathematics} (presented by Michele Vergne)