The Lifschitz singularity for the density of states on the Sierpinski gasket

DOI10.1007/BF01225823zbMath0722.60083OpenAlexW1970432237MaRDI QIDQ756291

Katarzyna Pietruska-Pałuba

Publication date: 1991

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01225823

zbMATH Keywords

Dirichlet boundary conditionsPoisson point processinfinite Sierpinski gasket

Mathematics Subject Classification ID

Brownian motion (60J65)

Related Items

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 ⋮ Transition density estimates for Brownian motion on affine nested fractals ⋮ Markov partitions and Feigenbaum-like mappings ⋮ Lifshitz tails for the fractional Anderson model ⋮ Lifschitz tail for alloy-type models driven by the fractional Laplacian ⋮ REFLECTED BROWNIAN MOTION ON SIMPLE NESTED FRACTALS ⋮ Estimates of the transition densities for the reflected Brownian motion on simple nested fractals ⋮ Integrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket ⋮ The Wiener Sausage Asymptotics on Simple Nested Fractals ⋮ The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials ⋮ Lifshitz tail for continuous Anderson models driven by Lévy operators ⋮ Lowest Eigenvalue Bounds for Markov Processes with Obstacles

Cites Work

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• Lifschitz tail on hyperbolic space: Neumann conditions