Spectral heat content for \(\alpha \)-stable processes in \({C^{1,1}}\) open sets

DOI10.1214/22-EJP752zbMath1486.60066arXiv2007.02815OpenAlexW4210953185WikidataQ114608819 ScholiaQ114608819MaRDI QIDQ2119673

Renming Song, Hyunchul Park

Publication date: 30 March 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.02815

zbMATH Keywords

asymptotic behaviorstable processesspectral heat content

Mathematics Subject Classification ID

Stationary stochastic processes (60G10)

Related Items (5)

Large-time and small-time behaviors of the spectral heat content for time-changed stable processes ⋮ Spectral heat content on a class of fractal sets for subordinate killed Brownian motions ⋮ A unified approach to the small-time behavior of the spectral heat content for isotropic Lévy processes ⋮ Spectral heat content for time-changed killed Brownian motions ⋮ On the asymptotic expansion of the heat content for isotropic \(\alpha \)-stable processes over convex bodies, \(0<\alpha <2\)

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• Markov processes, semigroups and generators.
• Uniform asymptotic expansions for the Barnes double gamma function
• Small time asymptotics of spectral heat contents for subordinate killed Brownian motions related to isotropic α‐stable processes
• Spectral heat content for Lévy processes

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