Operators with singular continuous spectrum, VI. Graph Laplacians and Laplace-Beltrami operators
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Publication:4875572
DOI10.1090/S0002-9939-96-03245-5zbMath0846.47023OpenAlexW1528667153MaRDI QIDQ4875572
Publication date: 24 April 1996
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03245-5
General topics in linear spectral theory for PDEs (35P05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) General theory of partial differential operators (47F05) Linear difference operators (47B39) Spectral theory; eigenvalue problems on manifolds (58C40)
Related Items (17)
Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Spectra of infinite graphs: two methods of computation ⋮ Path Laplacian operators and superdiffusive processes on graphs. I: One-dimensional case ⋮ Operators with singular continuous spectrum. VII: Examples with borderline time decay ⋮ Singular continuous spectrum for the Laplacian on certain sparse trees ⋮ Spectra of infinite graphs with tails ⋮ Spectral and dynamical contrast on highly correlated Anderson-type models ⋮ Operators with singular continuous spectrum, V. Sparse potentials ⋮ Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case ⋮ Spectral analysis for convolution operators on locally compact groups ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ The Canophy graph and level statistics for random operators on trees ⋮ Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures ⋮ SINGULAR SPECTRUM FOR RADIAL TREES ⋮ Zero measure and singular continuous spectra for quantum graphs ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization
Cites Work
- Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps
- Operators with singular continuous spectrum. III: Almost periodic Schrödinger operators
- Anderson localization for Bernoulli and other singular potentials
- Operators with singular continuous spectrum. I: General operators
- Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization
- L p Norms of the Borel Transform and the Decomposition of Measures
- Operators with singular continuous spectrum, V. Sparse potentials
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