Tagged particle processes and their non-explosion criteria

Abstract

We give a derivation of tagged particle processes from unla-beled interacting Brownian motions. We give a criteria of the non-explosion property of tagged particle processes. We prove the quasi-regularity of Dirich-let 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. © 2010 The Mathematical Society of Japan.