Quantum ergodicity for Eisenstein functions

DOI10.1016/j.crma.2016.06.006zbMath1351.58019arXiv1512.06802OpenAlexW2378049618MaRDI QIDQ309760

Yannick Bonthonneau, Steven Zelditch

Publication date: 7 September 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06802

zbMATH Keywords

spectral theoryquantum ergodicityEisenstein functionscusp manifolds with ergodic geodesic flow

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (3)

Quantum ergodicity for pseudo-Laplacians ⋮ Eisenstein quasimodes and semiclassical behavior of expectation values ⋮ Around quantum ergodicity

Cites Work

• Long time quantum evolution of observables on cusp manifolds
• Ergodicity and eigenfunctions of the Laplacian
• Pseudo-differential analysis on hyperbolic surfaces
• Uniform distribution of eigenfunctions on compact hyperbolic surfaces
• Mean Lindelöf hypothesis and equidistribution of cusp forms and Eisenstein series
• Spectral geometry and scattering theory for certain complete surfaces of finite volume
• Asymptotic behavior of periodic orbits of the horocycle flow and eisenstein series
• The Point Spectrum and Spectral Geometry for R<scp>iemann</scp>ian Manifolds with Cusps
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