Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Probability Theory and Related Fields
  3. Article
Construction of infinite dimensional interacting diffusion processes through Dirichlet forms
Download PDF
Download PDF
  • Published: 01 October 2002

Construction of infinite dimensional interacting diffusion processes through Dirichlet forms

  • Minoru W. Yoshida1 

Probability Theory and Related Fields volume 106, pages 265–297 (1996)Cite this article

  • 126 Accesses

  • 41 Citations

  • Metrics details

Summary.

By the theory of quasi-regular Dirichletforms and the associated special standard processes, the existence of symmetric diffusion processes taking values in the space of non-negative integer valued Radon measures on \({\mbox{\boldmath$R$}}^{\nu}\) and having Gibbs invariant measures associated with some given pair potentials is considered. The existence of such diffusions can be shown for a wide class of potentials involving some singular ones. Also, as a consequence of an application of stochastic calculus, a representation for the diffusion by means of a stochastic differential equation is derived.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. Department of Communications and System Engineering University ELECTRO-COMMUNICATIONS 1-5-1, Chyofugaoka, Chyofu, Tokyo, 182, Japan (e-mail: yoshida@cocktail.cas.uec.ac.jp), Tokyo, Japan

    Minoru W. Yoshida

Authors
  1. Minoru W. Yoshida
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 5 September 1995 / In revised form: 14 March 1996

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Yoshida, M. Construction of infinite dimensional interacting diffusion processes through Dirichlet forms. Probab Theory Relat Fields 106, 265–297 (1996). https://doi.org/10.1007/s004400050065

Download citation

  • Published: 01 October 2002

  • Issue Date: October 1996

  • DOI: https://doi.org/10.1007/s004400050065

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

  • Mathematics Subject Classification (1991): 60J40, 60J60, 60J70, 60K35
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature