Two-term trace estimates for relativistic stable processes

DOI10.1016/j.jmaa.2013.09.015zbMath1307.60060arXiv1309.2507OpenAlexW2963927847MaRDI QIDQ2260368

Erkan Nane, Jebessa B. Mijena, Rodrigo Bañuelos

Publication date: 10 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2507

zbMATH Keywords

asymptoticstracerelativistic stable process

Mathematics Subject Classification ID

Stable stochastic processes (60G52) Transition functions, generators and resolvents (60J35)

Related Items (6)

Asymptotic estimate of eigenvalues of pseudo-differential operators in an interval ⋮ Two-term spectral asymptotics for the Dirichlet pseudo-relativistic kinetic energy operator on a bounded domain ⋮ Spectral functions of subordinate Brownian motion on closed manifolds: ⋮ Trace estimates for unimodal Lévy processes ⋮ Trace estimates for relativistic stable processes ⋮ Heat trace asymptotics of subordinate Brownian motion in Euclidean space

Cites Work

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• Trace estimates for stable processes
• Can one hear the dimension of a fractal?
• On the asymptotics of the heat equation and bounds on traces associated with the Dirichlet Laplacian
• Estimates of Green function for relativistic \(\alpha\)-stable process
• On some relations between the harmonic measure and the Levy measure for a certain class of Markov processes
• Intrinsic ultracontractivity of the Feynman-Kac semigroup for relativistic stable processes

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