Symmetric jump processes: Localization, heat kernels and convergence

Richard F. Bassa; Moritz Kassmannb; Takashi Kumagaic

doi:10.1214/08-AIHP201

Symmetric jump processes: Localization, heat kernels and convergence

Richard F. Bassa, Moritz Kassmannb, Takashi Kumagaic

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

We consider symmetric processes of pure jump type. We prove local estimates on the probability of exiting balls, the Hölder continuity of harmonic functions and of heat kernels, and convergence of a sequence of such processes.

Original language	English
Pages (from-to)	59-71
Number of pages	13
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	46
Issue number	1
DOIs	https://doi.org/10.1214/08-AIHP201
Publication status	Published - 2010 Feb
Externally published	Yes

Keywords

Dirichlet forms
Harnack inequalities
Heat kernels
Non-local operators
Symmetric jump processes
Weak convergence

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/08-AIHP201

Cite this

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KW - Dirichlet forms

KW - Harnack inequalities

KW - Heat kernels

KW - Non-local operators

KW - Symmetric jump processes

KW - Weak convergence

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Symmetric jump processes: Localization, heat kernels and convergence

Abstract

Keywords

ASJC Scopus subject areas

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