Integrated density of states for Poisson-Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket

DOI10.1016/j.spa.2014.10.010zbMath1327.60164arXiv1310.1027OpenAlexW2072555648MaRDI QIDQ2258824

Kamil Kaleta, Katarzyna Pietruska-Pałuba

Publication date: 27 February 2015

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1027

zbMATH Keywords

eigenvaluesSchrödinger operatorintegrated density of statesSierpiński gasketreflected processKato classrandom Feynman-Kac semigroupsubordinate Brownian motionsPoissonian random potentials

Mathematics Subject Classification ID

Related Items (8)

Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket ⋮ Lifschitz tail for alloy-type models driven by the fractional Laplacian ⋮ Gaps labeling theorem for the bubble-diamond self-similar graphs ⋮ REFLECTED BROWNIAN MOTION ON SIMPLE NESTED FRACTALS ⋮ Density of states for the Anderson model on nested fractals ⋮ Estimates of the transition densities for the reflected Brownian motion on simple nested fractals ⋮ The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials ⋮ Lifshitz tail for continuous Anderson models driven by Lévy operators

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