Lifschitz tail and Wiener sausage. I

DOI10.1016/0022-1236(90)90012-AzbMath0732.60088OpenAlexW2044463690MaRDI QIDQ808542

Alain-Sol Sznitman

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90012-a

zbMATH Keywords

Dirichlet boundary conditionsBrownian bridgeprincipal eigenvalueTauberian theoremWiener sausagePoisson point measureLifschitz tail behaviour

Mathematics Subject Classification ID

Brownian motion (60J65)

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Asymptotic survival probabilities in the random saturation process., Brownian motion in a Poissonian potential, Brownian asymptotics in a Poissonian environment, Almost sure behaviour of the perturbed Brownian motion on the Sierpiński gasket, Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket, Exponential estimates for the Wiener sausage, Lifschitz tail for alloy-type models driven by the fractional Laplacian, REFLECTED BROWNIAN MOTION ON SIMPLE NESTED FRACTALS, Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice, On the spectral gap in the Kac-Luttinger model and Bose-Einstein condensation, The rate of decay of the Wiener sausage in local Dirichlet space, Integrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket, The Wiener Sausage Asymptotics on Simple Nested Fractals, Brownian survival and Lifshitz tail in perturbed lattice disorder, Poly-logarithmic localization for random walks among random obstacles, Lifshitz tail for continuous Anderson models driven by Lévy operators, Brownian Survival in a Clusterized Trapping Medium, Lowest Eigenvalue Bounds for Markov Processes with Obstacles, Lifschitz tail and Wiener sausage. II

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