Proof of the Kurlberg-Rudnick rate conjecture

• 成果类型: Article
• 署名作者: Gurevich, Shamgar; Hadani, Ronny
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2011.174.1.1
• 发表日期: 2011
• 页码: 1-54
• 关键词: linear-maps

摘要

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.