Eisenstein quasimodes and semiclassical behavior of expectation values

DOI10.1007/S00023-022-01184-YOpenAlexW4226334049MaRDI QIDQ2099130

Shimon Brooks

Publication date: 23 November 2022

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-022-01184-y

Mathematics Subject Classification ID

Partial differential equations on manifolds; differential operators (58Jxx) Discontinuous groups and automorphic forms (11Fxx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

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• Quantum unique ergodicity for Eisenstein series on \(PSL_ 2(\mathbb{Z}){\setminus}PSL_ 2(\mathbb{R})\)
• Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)
• On quantum unique ergodicity for locally symmetric spaces
• Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
• Quantum Limits of Eisenstein Series and Scattering States
• Asymptotic behavior of periodic orbits of the horocycle flow and eisenstein series
• Microlocal limits of plane waves and Eisenstein functions

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