Proof of the Kurlberg-Rudnick rate conjecture

Pages 1-54 from Volume 174 (2011), Issue 1 by Shamgar Gurevich, Ronny Hadani

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.

Keywords
, , , ,
DOI
https://doi.org/http://doi.org/10.4007/annals.2011.174.1.1
MR
2811593
zbMATH
05960695
Milestones
Received: 8 April 2005
Revised: 21 October 2009
Accepted: 6 May 2010
Published online: 1 July 2011

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