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Persistent random walks in random environment
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  • Published: December 1986

Persistent random walks in random environment

  • Bálint Tóth1 

Probability Theory and Related Fields volume 71, pages 615–625 (1986)Cite this article

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  • 23 Citations

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Summary

Weak convergence of a class of functionals of PRWRE is proved. As a consequence CLT is obtained for the normed trajectory.

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References

  1. Dunford, N., Schwartz, J.T.: Linear Operators, Part II. New York-London: Interscience Publishers 1963

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  2. Hall, P., Heyde, C.C.: Martingale Limit Theory and its Application. New York: Academic Press 1980

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  3. Kipnis, C., Varadhan, S.R.S.: Central limit theorem for additive functional of reversible Markov processes and applications to simple exclusions. To appear in Comm. Math. Phys. 1985

  4. Neveu, J.: Mathematical foundations of the calculus of probability. San Francisco: Holden-Day 1965

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  5. Reed, M., Simon, B.: Methods of modern mathematical physics I, II. New York: Academic Press 1974

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  6. Szász, D., Tóth, B.: Persistent random walks in a one-dimensional random environment. J. Statist. Phys.37, 27–38 (1984)

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Author information

Authors and Affiliations

  1. Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda u. 13-15, H-1053, Budapest V, Hungary

    Bálint Tóth

Authors
  1. Bálint Tóth
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Additional information

Work supported by the Central Research Fund of the Hungarian Academy of Sciences (Grant No. 476/82).

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Cite this article

Tóth, B. Persistent random walks in random environment. Probab. Th. Rel. Fields 71, 615–625 (1986). https://doi.org/10.1007/BF00699043

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  • Received: 02 January 1985

  • Revised: 14 October 1985

  • Issue Date: December 1986

  • DOI: https://doi.org/10.1007/BF00699043

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Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Weak Convergence
  • Random Environment
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