# Quantum unique ergodicity for SL\_2(Z)\\H

Source: [Quantum unique ergodicity for SL\_2(Z)\\H](<https://www.sota2.com/research/paper/68fa236a2c2a3760193973f2>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:29.839Z

Authors: K. Soundararajan

Published: 2009-01-26T18:20:34.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0901.4060>)

[PDF](<https://arxiv.org/pdf/0901.4060.pdf>)