scientific article; zbMATH DE number 2064824

zbMath1044.58038arXivmath/0202074MaRDI QIDQ4462268

John A. Toth, Steven Zelditch

Publication date: 18 May 2004

Full work available at URL: https://arxiv.org/abs/math/0202074

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Birkhoff normal formeigenfunctions of Laplacianapproximate eigenfunctionscompletely integrable geodesic flow

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

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Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation ⋮ \(L^{2}\)-restriction bounds for eigenfunctions along curves in the quantum completely integrable case ⋮ Pointwise bounds for joint eigenfunctions of quantum completely integrable systems ⋮ Generic KAM Hamiltonians are not quantum ergodic ⋮ Quantum limits of sub-Laplacians via joint spectral calculus ⋮ About the blowup of quasimodes on Riemannian manifolds ⋮ Wigner measures supported on weak KAM tori ⋮ Large values of eigenfunctions on arithmetic hyperbolic 3-manifolds ⋮ Nodal intersections and geometric control ⋮ Mather measures associated with a class of Bloch wave functions ⋮ \(L^p\) estimates for joint quasimodes of semiclassical pseudodifferential operators ⋮ Defect measures of eigenfunctions with maximal \(L^\infty\) growth ⋮ A uniform bound on the multiplicity of Dirichlet eigenvalues in planar annuli

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