Entropy bounds and quantum unique ergodicity for Hecke eigenfunctions on division algebras

DOI10.1090/conm/739/14899zbMath1442.81010arXiv1606.02267OpenAlexW2990655030MaRDI QIDQ3295941

Akshay Venkatesh, Lior Silberman

Publication date: 3 July 2020

Published in: Probabilistic Methods in Geometry, Topology and Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02267

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory on groups (22D40) Entropy and other invariants (28D20) Many-body theory; quantum Hall effect (81V70) Structure of modular groups and generalizations; arithmetic groups (11F06) Hecke-Petersson operators, differential operators (several variables) (11F60) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Quantum entropies (81P17)

Related Items (5)

A symplectic restriction problem ⋮ Quantum unique ergodicity of degenerate Eisenstein series on \(\mathrm{GL}(n)\) ⋮ Hybrid bounds for the sup-norm of automorphic forms in higher rank ⋮ QUANTUM ERGODICITY FOR COMPACT QUOTIENTS OF IN THE BENJAMINI–SCHRAMM LIMIT ⋮ Joint quasimodes, positive entropy, and quantum unique ergodicity

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