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

Abstract

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

34 pages, 2 figures

References in corpus (2)

• Boundary Harnack inequality for Markov processes with jumps
• Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman-Kac semigroups for a class of Lévy processes

Cited by in corpus (2)

• Reflected Brownian motion on simple nested fractals
• Lifschitz tail and sausage asymptotics for stable processes in the Poissonian environment on the Sierpinski gasket