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
State classification for a class of measure-valued branching diffusions in a Brownian medium
Download PDF
Download PDF
  • Published: September 1997

State classification for a class of measure-valued branching diffusions in a Brownian medium

  • H. Wang1 

Probability Theory and Related Fields volume 109, pages 39–55 (1997)Cite this article

  • 96 Accesses

  • 33 Citations

  • Metrics details

Summary.

The spatial structure of a new class of measure-valued diffusions which arise as limits in distribution of a sequence of interacting branching particle systems is investigated. We obtain the following criterion of state classification for these superprocesses: their effective state space is contained in the set of purely atomic measures or the set of absolutely continuous measures according as ε=0 or ε≠0, when the coefficient of the motion generator is a smooth function.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Carleton University, Ottawa, Canada K1S 5B6, , , , , , CA

    H. Wang

Authors
  1. H. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 15 December 1995 / In revised form: 24 March 1997

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Wang, H. State classification for a class of measure-valued branching diffusions in a Brownian medium. Probab Theory Relat Fields 109, 39–55 (1997). https://doi.org/10.1007/s004400050124

Download citation

  • Issue Date: September 1997

  • DOI: https://doi.org/10.1007/s004400050124

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

  • Key words and phrases: spatial structure
  • property
  • superprocess
  • interaction.
  • Mathematics Subject Classification (1991): 60K35
  • 60J80
  • 60J35
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