Conservation property of symmetric jump processes

Jun Masamune; Toshihiro Uemura

Annales de l'I.H.P. Probabilités et statistiques (2011)

  • Volume: 47, Issue: 3, page 650-662
  • ISSN: 0246-0203

Abstract

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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.

How to cite

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Masamune, Jun, and Uemura, Toshihiro. "Conservation property of symmetric jump processes." Annales de l'I.H.P. Probabilités et statistiques 47.3 (2011): 650-662. <http://eudml.org/doc/242295>.

@article{Masamune2011,
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.},
author = {Masamune, Jun, Uemura, Toshihiro},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {conservation property; symmetric Dirichlet forms with jumps; derivation property; jump processes; perturbation method},
language = {eng},
number = {3},
pages = {650-662},
publisher = {Gauthier-Villars},
title = {Conservation property of symmetric jump processes},
url = {http://eudml.org/doc/242295},
volume = {47},
year = {2011},
}

TY - JOUR
AU - Masamune, Jun
AU - Uemura, Toshihiro
TI - Conservation property of symmetric jump processes
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2011
PB - Gauthier-Villars
VL - 47
IS - 3
SP - 650
EP - 662
AB - 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.
LA - eng
KW - conservation property; symmetric Dirichlet forms with jumps; derivation property; jump processes; perturbation method
UR - http://eudml.org/doc/242295
ER -

References

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