Conservation property of symmetric jump processes

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 ju...

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Veröffentlicht in:	Annales de l'I.H.P. Probabilités et statistiques 2011-08, Vol.47 (3), p.650-662
Hauptverfasser:	MASAMUNE, Jun, UEMURA, Toshihiro
Format:	Artikel
Sprache:	eng
Schlagworte:	31C25 35R09 60J75 Conservation property Derivation property Exact sciences and technology General topics Markov processes Mathematics Probability and statistics Probability theory and stochastic processes Sciences and techniques of general use Statistics Symmetric Dirichlet forms with jumps
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Beschreibung
Zusammenfassung:	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.
ISSN:	0246-0203
DOI:	10.1214/09-aihp368