Proof of the Kurlberg-Rudnick rate conjecture


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.


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