The Higher-Dimensional Rudnick-Kurlberg Conjecture
arXiv:math-ph/0409031
Abstract
In this paper we give a proof of the {\it 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 {\it Rudnick-Kurlberg Conjecture} given in \cite{GH3} for the 2-dimensional torus.
26 pages, preliminary version, proof conjecture for "generic" ergodic automorphism