Proof of the Kurlberg-Rudnick rate conjecture

Abstract

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

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Authors

Shamgar Gurevich

Department of Mathematics
University of Wisconsin,
Madison, WI 53706

Ronny Hadani

Department of Mathematics
The University of Texas at Austin
Austin, TX 78702