Lifschitz tail and sausage asymptotics for stable processes in the Poissonian environment on the Sierpinski gasket

Dorota Kowalska; Katarzyna Pietruska-Pałuba

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arXiv · 1406.4970

Lifschitz tail and sausage asymptotics for stable processes in the Poissonian environment on the Sierpinski gasket

Dorota Kowalska·Katarzyna Pietruska-Pałuba

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Abstract

We obtain the Lifschitz tail asymptotics for the integrated density of states of the subordinate $α-$stable processes on the Sierpiński gasket $\mathcal G,$ evolving among killing Poissonian obstacles. Simultaneously, we derive the large-time asymptotics for the volume of the $α-$stable sausage on the gasket.

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Dorota Kowalska, Katarzyna Pietruska-Pałuba. 2014-06-19. Lifschitz tail and sausage asymptotics for stable processes in the Poissonian environment on the Sierpinski gasket. https://arxiv.org/abs/1406.4970

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