Trace Estimates for Stable Processes

Rodrigo Banuelos; Tadeusz Kulczycki

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arXiv · 0707.4313

Trace Estimates for Stable Processes

Rodrigo Banuelos·Tadeusz Kulczycki

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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 $\Rd$. In particular, we show that for domains with the so called {\it{$R$-smoothness}} property the second terms in the asymptotic as $t\to 0$ involves the surface area of the domain, just as in the case of Brownian motion.

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Rodrigo Banuelos, Tadeusz Kulczycki. 2007-07-29. Trace Estimates for Stable Processes. https://arxiv.org/abs/0707.4313

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