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math.SP2007
Trace Estimates for Stable Processes
Rodrigo Banuelos, Tadeusz Kulczycki
In this paper we study the behaviour in time of the trace (the partition function) of the heat semigroup associated with symmetric stable processes in domains of $\Rd$. In particul…
math.SP2006
Spectral gap for stable process on convex planar double symmetric domains
Bartlomiej Dyda, Tadeusz Kulczycki
We study the semigroup of the symmetric -stable process in bounded domains in . We obtain a variational formula for the spectral gap, i.e. the difference between two first…