Tagged particle processes and their non-explosion criteria
Hirofumi OSADA
Source: J. Math. Soc. Japan Volume 62, Number 3
(2010), 867-894.
Abstract
We give a derivation of tagged particle processes from unlabeled interacting Brownian motions. We give a criteria of the non-explosion property of tagged particle processes. We prove the quasi-regularity of Dirichlet forms describing the environment seen from the tagged particle, which were used in previous papers to prove the invariance principle of tagged particles of interacting Brownian motions.
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Keywords: interacting Brownian particles; infinitely dimensional diffusions; infinitely many particle systems; Dirichlet forms
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Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1280496822
Digital Object Identifier: doi:10.2969/jmsj/06230867
Zentralblatt MATH identifier: 05786467
Mathematical Reviews number (MathSciNet): MR2648065
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