Conservation property of symmetric jump processes

Jun Masamune; Toshihiro Uemura

doi:10.1214/09-AIHP368

Conservation property of symmetric jump processes

Jun Masamune, Toshihiro Uemura

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

31 Citations (Scopus)

Abstract

Motivated by the recent development in the theory of jump processes, we investigate its conservation property. We will show that a jump process is conservative under certain conditions for the volume-growth of the underlying space and the jump rate of the process. We will also present examples of jump processes which satisfy these conditions.

Original language	English
Pages (from-to)	650-662
Number of pages	13
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	47
Issue number	3
DOIs	https://doi.org/10.1214/09-AIHP368
Publication status	Published - 2011 Aug
Externally published	Yes

Keywords

Conservation property
Derivation property
Symmetric Dirichlet forms with jumps

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/09-AIHP368

Cite this

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KW - Derivation property

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Conservation property of symmetric jump processes

Abstract

Keywords

ASJC Scopus subject areas

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