Density of states for alpha-stable processes
Tue, Jun 19, 2012
PIMS, University of British Columbia
PIMS-MPrime Summer School in Probability
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.
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