Small scale equidistribution of random eigenbases

DOI10.1007/s00220-016-2597-8zbMath1357.35241arXiv1511.01195OpenAlexW3102411450MaRDI QIDQ507283

Xiaolong Han

Publication date: 3 February 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01195

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) PDEs on manifolds (35R01)

Related Items (13)

SMALL-SCALE EQUIDISTRIBUTION OF RANDOM WAVES GENERATED BY AN UNFAIR COIN FLIP ⋮ A central limit theorem for integrals of random waves ⋮ Equidistribution in shrinking sets and \(L^4\)-norm bounds for automorphic forms ⋮ On the correlation between critical points and critical values for random spherical harmonics ⋮ Planck-scale mass equidistribution of toral Laplace eigenfunctions ⋮ Small scale equidistribution for a point scatterer on the torus ⋮ Equidistribution of random waves on small balls ⋮ Applications of small-scale quantum ergodicity in nodal sets ⋮ CENTRAL LIMIT THEOREM FOR PLANCK‐SCALE MASS DISTRIBUTION OF TORAL LAPLACE EIGENFUNCTIONS ⋮ Quantum ergodicity and \(L^{p}\) norms of restrictions of eigenfunctions ⋮ A reduction principle for the critical values of random spherical harmonics ⋮ Planck-scale distribution of nodal length of arithmetic random waves ⋮ Filament structure of random waves

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