Tagged particle processes and their non-explosion criteria

• Osada Hirofumi

  Faculty of Mathematics, Kyushu University

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.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 62 (3), 867-894, 2010

  The Mathematical Society of Japan

Keywords

• interacting Brownian particles
• infinitely dimensional diffusions
• infinitely many particle systems
• Dirichlet forms

Details

• CRID: 1390282680092131456
• NII Article ID: 10027870886
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/06230867
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL BIB ID: 10764151
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10764151
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed