Heat Trace Asymptotics of Subordinate Brownian Motion in Euclidean Space

Matthias Albrecht Fahrenwaldt

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
41 Downloads (Pure)


We derive the heat trace asymptotics of the generator of subordinate Brownian motion on Euclidean space for a class of Laplace exponents. The terms in the asymptotic expansion can be computed to arbitrary order and depend both on the geometry of Euclidean space and the short-time behaviour of the process. If the Blumenthal-Getoor index of the process is rational, then the asymptotics may contain logarithmic terms. The key assumption is the existence of a suitable density for the Lévy measure of the subordinator. The analysis is highly explicit.
Original languageEnglish
Pages (from-to)331-354
Number of pages24
JournalPotential Analysis
Issue number2
Early online date24 Oct 2015
Publication statusPublished - Feb 2016


Dive into the research topics of 'Heat Trace Asymptotics of Subordinate Brownian Motion in Euclidean Space'. Together they form a unique fingerprint.

Cite this