Inner radius of nodal domains of quantum ergodic eigenfunctions

DOI10.1090/proc/13766zbMath1400.35193arXiv1606.03499OpenAlexW2963770565MaRDI QIDQ4683513

Hamid Hezari

Publication date: 21 September 2018

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

Full work available at URL: https://arxiv.org/abs/1606.03499

zbMATH Keywords

Laplace-Beltrami operatorinner radiusnodal domainsquantum ergodic eigenfunctions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs on manifolds (35R01)

Related Items (4)

Equidistribution of random waves on small balls ⋮ On the lower bound of the inner radius of nodal domains ⋮ Quantum ergodicity and \(L^{p}\) norms of restrictions of eigenfunctions ⋮ Distorted plane waves on manifolds of nonpositive curvature

Cites Work

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• Small scale quantum ergodicity in negatively curved manifolds
• On the Inner Radius of a Nodal Domain
• Local Asymmetry and the Inner Radius of Nodal Domains
• Local and global analysis of eigenfunctions

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