On the one--dimensional spectral Heat content for stable processes

Luis Acuna Valverde

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arXiv · 1510.06697

On the one--dimensional spectral Heat content for stable processes

Luis Acuna Valverde

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Abstract

This paper provides the second term in the small time asymptotic expansion of the spectral heat content of a rotationally invariant $α$--stable process, $0<α\leq 2$, for the interval $(a,b)$. The small time behavior of the spectral heat content turns out to be linked to the distribution of the supremum and infimum processes.

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BibTeX RIS

Luis Acuna Valverde. 2016-03-23. On the one--dimensional spectral Heat content for stable processes. https://arxiv.org/abs/1510.06697

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