Spreading of quasimodes in the Bunimovich stadium

DOI10.1090/S0002-9939-06-08597-2zbMath1111.35013arXivmath/0507020MaRDI QIDQ3420081

Nicolas Burq, Andrew Hassell, Jared Wunsch

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507020

zbMATH Keywords

eigenfunctionsquantum chaosDirichlet Laplacianquasimodesmass concentration

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Quantum chaos (81Q50) Elliptic equations on manifolds, general theory (58J05)

Related Items (4)

High-frequency resolvent estimates on asymptotically Euclidean warped products ⋮ Spreading of Lagrangian regularity on rational invariant tori ⋮ High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis ⋮ A Non-Concentration Estimate for Partially Rectangular Billiards

Cites Work

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• Uniform distribution of eigenfunctions on compact hyperbolic surfaces
• On the ergodic properties of nowhere dispersing billiards
• Ergodic properties of eigenfunctions for the Dirichlet problem
• Ergodicity of eigenfunctions for ergodic billiards
• Quantum unique ergodicity
• Bouncing Ball Modes and Quantum Chaos
• Eigenfunctions for Partially Rectangular Billiards

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