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arXiv · 1406.5651

Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket

Kamil Kaleta·Katarzyna Pietruska-Pałuba
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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 Sierpiński gasket. We also study the long-time behaviour for the corresponding averaged Feynman-Kac functionals.

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Kamil Kaleta, Katarzyna Pietruska-Pałuba. 2014-06-21. Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket. https://arxiv.org/abs/1406.5651

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