Quantum unique ergodicity for SL_2(Z)\H

Abstract

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 the modular surface SL_2(Z)\H.

10 pages

Cited by in corpus (1)

• On the fluctuations of matrix elements of the quantum cat map