Quantum unique ergodicity for ${\rm SL}_2(\mathbb{Z})\backslash\mathbb{H}$
Annals of mathematics, Tome 172 (2010) no. 2, pp. 1529-1538.

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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 ${\rm SL}_2(\mathbb{Z})\backslash \mathbb{H}$.
DOI : 10.4007/annals.2010.172.1529

Kannan Soundararajan 1

1 Stanford University<br/>Department of Mathematics<br/>450 Serra Mall, Building 380<br/>Stanford CA 94305-2125<br/>United States
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Kannan Soundararajan. Quantum unique ergodicity for ${\rm SL}_2(\mathbb{Z})\backslash\mathbb{H}$. Annals of mathematics, Tome 172 (2010) no. 2, pp. 1529-1538. doi : 10.4007/annals.2010.172.1529. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.172.1529/

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