Tagged particle processes and their non-explosion criteria

Details Tagged particle processes and their non-explosion criteria Tagged particle processes and their non-explosion criteria

2009-05-25

arxiv.org/abs/0905.3973v3

Mathematics

Probability

22pages

Scientific paper

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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