Quantum unique ergodicity for SL_2(Z)\H

Details Quantum unique ergodicity for SL_2(Z)\H Quantum unique ergodicity for SL_2(Z)\H

2009-01-26

arxiv.org/abs/0901.4060v1

Mathematics

Number Theory

10 pages

Scientific paper

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.

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