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

Kamil Kaleta and Katarzyna Pietruska-Pałuba

Stochastic Processes and their Applications, 2015, vol. 125, issue 4, 1244-1281

Abstract: We prove the existence of the integrated density of states for subordinate Brownian motions in the presence of the Poissonian random potentials on the Sierpiński gasket.

Keywords: Subordinate Brownian motion; Sierpiński gasket; Reflected process; Random Feynman–Kac semigroup; Schrödinger operator; Random potential; Kato class; Eigenvalues; Integrated density of states (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:125:y:2015:i:4:p:1244-1281

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DOI: 10.1016/j.spa.2014.10.010

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