Quantum unique ergodicity for SL2(Z)\H

• 成果类型: Article
• 署名作者: Soundararajan, Kannan
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• 发表日期: 2010
• 页码: 1529-1538
• 关键词: eisenstein series

摘要

We eliminate the possibility of escape of mass for Hecke-Maass forms of large eigenvalue for the modular group. Combined with the work of Lindenstrauss, this establishes the Quantum Unique Ergodicity conjecture of Rudnick and Sarnak for Hecke-Maass forms on the modular surface SL2(Z)\H.