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 |
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container_title | Annales de l'I.H.P. Probabilités et statistiques |
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creator | MASAMUNE, Jun UEMURA, Toshihiro |
description | 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. |
doi_str_mv | 10.1214/09-aihp368 |
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subjects | 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 |
title | Conservation property of symmetric jump processes |
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