Trace Estimates for Stable Processes
Spectral Theory
2007-07-31 v1 Probability
Abstract
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 . In particular, we show that for domains with the so called {\it{-smoothness}} property the second terms in the asymptotic as involves the surface area of the domain, just as in the case of Brownian motion.
Cite
@article{arxiv.0707.4313,
title = {Trace Estimates for Stable Processes},
author = {Rodrigo Banuelos and Tadeusz Kulczycki},
journal= {arXiv preprint arXiv:0707.4313},
year = {2007}
}