Sharp bounds for the intersection of nodal lines with certain curves

DOI10.4171/JEMS/433zbMath1327.53043arXiv1108.2335OpenAlexW2963772419MaRDI QIDQ2441482

Junehyuk Jung

Publication date: 24 March 2014

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.2335

zbMATH Keywords

eigenvalueLaplacianhyperbolic surfacegeodesic circle

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

Geodesics and nodal sets of Laplace eigenfunctions on hyperbolic manifolds ⋮ Lower bounds for eigenfunction restrictions in lacunary regions ⋮ Nodal intersections and geometric control ⋮ On the nodal lines of Eisenstein series on Schottky surfaces ⋮ Nodal intersections and \(L^p\) restriction theorems on the torus

Cites Work

• Nodal sets of eigenfunctions on Riemannian manifolds
• Unnamed Item

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