New Variants of Arithmetic Quantum Ergodicity

Peter Humphries; Jesse Thorner

doi:10.1007/s00220-024-05203-3

New Variants of Arithmetic Quantum Ergodicity

Peter Humphries, Jesse Thorner

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We establish two new variants of arithmetic quantum ergodicity. The first is for self-dual GL2 Hecke–Maaß newforms over Q as the level and Laplace eigenvalue vary jointly. The second is a nonsplit analogue wherein almost all restrictions of Hilbert (respectively Bianchi) Hecke–Maaß cusp forms to the modular surface dissipate as their Laplace eigenvalues grow.

Original language	English (US)
Article number	59
Journal	Communications in Mathematical Physics
Volume	406
Issue number	3
Early online date	Feb 17 2025
DOIs	https://doi.org/10.1007/s00220-024-05203-3
State	Published - Mar 2025

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-024-05203-3License: CC BY

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author = "Peter Humphries and Jesse Thorner",

note = "Peter Humphries was supported by the National Science Foundation (grant DMS-2302079) and by the Simons Foundation (award 965056). Jesse Thorner was supported by the Simons Foundation (award MP-TSM-00002484) and the National Science Foundation (DMS-2401311).",

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New Variants of Arithmetic Quantum Ergodicity

Abstract

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