Density of states for alpha-stable processes
Speaker: Dorota Kowalska
Date: Wed, Jun 20, 2012
Location: PIMS, University of British Columbia
Conference: PIMS-MPrime Summer School in Probability
Subject: Mathematics, Probability
Class: Scientific
Date: Wed, Jun 20, 2012
Location: PIMS, University of British Columbia
Conference: PIMS-MPrime Summer School in Probability
Subject: Mathematics, Probability
Class: Scientific
Abstract:
We will show the existence of the density of states for $alpha$-stable processes ie existence of the deterministic measure that is a limit (when M goes to infinity) of random measures based on sequence of the eigenvalues of the generator of the $alpha$-stable process in a ball B(0,M) with Poissonian obstacles. We will give also estimate of the limit measure near zero.
