Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11016096 | Stochastic Processes and their Applications | 2018 | 43 Pages |
Abstract
We establish the Lifschitz-type singularity around the bottom of the spectrum for the integrated density of states for a class of subordinate Brownian motions in presence of the nonnegative Poissonian random potentials, possibly of infinite range, on the SierpiÅski gasket. We also study the long-time behaviour for the corresponding averaged Feynman-Kac functionals.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Kamil Kaleta, Katarzyna Pietruska-PaÅuba,