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
Biased random walks on directed trees
Download PDF
Download PDF
  • Article
  • Published: June 1998

Biased random walks on directed trees

  • Christiane Takacs1 

Probability Theory and Related Fields volume 111, pages 123–139 (1998)Cite this article

Summary.

We define directed rooted labeled and unlabeled trees and find measures on the space of directed rooted unlabeled trees which are invariant with respect to transition probabilities corresponding to a biased random walk on a directed rooted labeled tree. We use these to calculate the speed of a biased random walk on directed rooted labeled trees. The results are mainly applied to directed trees with recurrent subtrees, where the random walker cannot escape.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. Department of Stochastics, Altenbergerstr. 69, University of Linz, A-4040 Linz, Austria e-mail: Christiane.Takacs@jk.uni-linz.ac.at, , , , , , AT

    Christiane Takacs

Authors
  1. Christiane Takacs
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 12 March 1997/ In revised form: 11 December 1997

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Takacs, C. Biased random walks on directed trees. Probab Theory Relat Fields 111, 123–139 (1998). https://doi.org/10.1007/s004400050164

Download citation

  • Issue Date: June 1998

  • DOI: https://doi.org/10.1007/s004400050164

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): Primary 60J15; Secondary 60J45.
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