Skip to main content
Log in

A non-Wiener random walk in a two-dimensional Bernoulli environment

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

For a degenerate random walk in a 2D Bernoulli environment without local traps, computer results show a non-Wiener behavior. For a better exploitation of the memory, the analysis is based on the statistics of the first exit time from a square.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Bramson and R. Durrett, Random walk in random environment: A counter example (1986), in preparation.

  2. P. Erdős and M. Kac,Bull. Am. Math. Soc. 52:292–302 (1946).

    Google Scholar 

  3. D. S. Fisher,Phys. Rev. A 30:960–964 (1984).

    Google Scholar 

  4. J. M. Luck,J. Phys. A 17:2069 (1984).

    Google Scholar 

  5. E. L. Lehman,Testing Statistical Hypotheses (Wiley, New York, 1959).

    Google Scholar 

  6. E. Marinari, G. Parisi, D. Ruelle, and P. Windey,Commun. Math. Phys. 89:1 (1983).

    Google Scholar 

  7. S. P. Obukhov,Lett. J. Emp. Theor. Phys. 39:21 (1983).

    Google Scholar 

  8. E. Omerti, M. Ronchetti, and D. Dürr,J. Stat. Phys. 44:339 (1986).

    Google Scholar 

  9. L. Peliti,Phys. Rep. 103:225–231 (1984).

    Google Scholar 

  10. Ya. G. Sinai,Theor. Prob. Appl. 27:247–258 (1982) [in Russian].

    Google Scholar 

  11. D. Szász and B. Tóth,Commun. Math. Phys. 111:41–62 (1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krámli, A., Lukács, P. & Szász, D. A non-Wiener random walk in a two-dimensional Bernoulli environment. J Stat Phys 50, 599–609 (1988). https://doi.org/10.1007/BF01026492

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01026492

Key words

Navigation