English

Tagged particle processes and their non-explosion criteria

Probability 2010-03-26 v3 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.0905.3973,
  title  = {Tagged particle processes and their non-explosion criteria},
  author = {Hirofumi Osada},
  journal= {arXiv preprint arXiv:0905.3973},
  year   = {2010}
}

Comments

22pages

R2 v1 2026-06-21T13:05:36.097Z