Quantum unique ergodicity for SL_2(Z)\H
Number Theory
2009-01-27 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0901.4060,
title = {Quantum unique ergodicity for SL_2(Z)\H},
author = {K. Soundararajan},
journal= {arXiv preprint arXiv:0901.4060},
year = {2009}
}
Comments
10 pages