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Tagged particle processes and their non-explosion criteria. (English) Zbl 1196.60166

Summary: 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.

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
60J60 Diffusion processes
82B21 Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics
82C22 Interacting particle systems in time-dependent statistical mechanics
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