Lifschitz tail on hyperbolic space: Neumann conditions

DOI10.1002/cpa.3160430102zbMath0735.60086OpenAlexW2092288991MaRDI QIDQ4712627

Alain-Sol Sznitman

Publication date: 25 June 1992

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160430102

zbMATH Keywords

eigenvaluesBrownian motionBrownian bridgePoisson point processWiener sausageDirichlet conditionrandom spectral measurerandom Laplacian

Mathematics Subject Classification ID

Brownian motion (60J65) Random operators and equations (aspects of stochastic analysis) (60H25)

Related Items (12)

Uniform existence of the integrated density of states on metric Cayley graphs ⋮ Density of states for the Anderson model on nested fractals ⋮ Uniform approximation of the integrated density of states for long-range percolation Hamiltonians ⋮ A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states ⋮ The Canophy graph and level statistics for random operators on trees ⋮ Integrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket ⋮ Percolation diffusion. ⋮ Groupoids, von Neumann algebras and the integrated density of states ⋮ The Lifschitz singularity for the density of states on the Sierpinski gasket ⋮ Lowest Eigenvalue Bounds for Markov Processes with Obstacles ⋮ Approximation of the integrated density of states on sofic groups ⋮ Lifschitz tail and Wiener sausage. I

Cites Work

• Spectral geometry: direct and inverse problems. With an appendix by G. Besson
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