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
The Burgers equation with a random force and a general model for directed polymers in random environments
Download PDF
Download PDF
  • Published: May 1997

The Burgers equation with a random force and a general model for directed polymers in random environments

  • Yuri Kifer1 

Probability Theory and Related Fields volume 108, pages 29–65 (1997)Cite this article

  • 200 Accesses

  • 26 Citations

  • Metrics details

Summary.

The study of the Burgers equation with a random force leads via a Hopf-Cole type transformation to a stochastic heat equation having a white noise with spatial parameters type potential. The latter can be studied by means of a general model of directed polymers in random environments with two point random potentials. These models exhibit a Gaussian behavior at large times and have certain stationary distributions which yield the corresponding results for the above stochastic heat and Burgers equations.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. Institute of Mathematics, Hebrew University of Jerusalem, Givat Ram, Jerusalem 91904, Israel, , , , , , IL

    Yuri Kifer

Authors
  1. Yuri Kifer
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 18 July 1995 / In revised form: 5 August 1995

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Kifer, Y. The Burgers equation with a random force and a general model for directed polymers in random environments. Probab Theory Relat Fields 108, 29–65 (1997). https://doi.org/10.1007/s004400050100

Download citation

  • Issue Date: May 1997

  • DOI: https://doi.org/10.1007/s004400050100

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 Classifiction (1991):Primary: 60H15
  • Secondary: 60J15
  • 32Q20
  • 35R60.
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