Conservation property of symmetric jump-diffusion processes

Yuichi Shiozawa

doi:10.1515/forum-2012-0043

Conservation property of symmetric jump-diffusion processes

Yuichi Shiozawa

Graduate School of Natural Science and Technology

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

7 Citations (Scopus)

Abstract

We establish a conservativeness criterion for symmetric jump-diffusion processes generated by regular Dirichlet forms. Using this criterion, we characterize the conservation property in terms of the volume growth of the underlying measure and the growth of the canonical coefficients.

Original language	English
Pages (from-to)	519-548
Number of pages	30
Journal	Forum Mathematicum
Volume	27
Issue number	1
DOIs	https://doi.org/10.1515/forum-2012-0043
Publication status	Published - Jan 1 2015

Keywords

Conservativeness
Dirichlet form
Jump-diffusion process

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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abstract = "We establish a conservativeness criterion for symmetric jump-diffusion processes generated by regular Dirichlet forms. Using this criterion, we characterize the conservation property in terms of the volume growth of the underlying measure and the growth of the canonical coefficients.",

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author = "Yuichi Shiozawa",

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Conservation property of symmetric jump-diffusion processes

Abstract

Keywords

ASJC Scopus subject areas

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