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A remark on the CLT for a random walk in a random environment
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  • Published: 25 May 2004

A remark on the CLT for a random walk in a random environment

  • Wilhelm Stannat1 

Probability Theory and Related Fields volume 130, pages 377–387 (2004)Cite this article

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Abstract.

We give a simplified proof, using elementary methods only, of the almost-sure central limit theorem (CLT) in any dimension for a Markov model of a random walk in a random environment introduced in [BMP].

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References

  1. Billingsley, P.: Convergence of Probability Measures, John Wiley & Sons, 1968

  2. Bernabei, M.S., Boldrighini, C., Minlos, R.A., Pellegrinotti, A.: Almost-sure central limit theorem for a model of random walk in fluctuating random environment. Markov Processes Relat. Fields 4, 381–393 (1998)

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  3. Boldrighini, C., Minlos, R.A., Pellegrinotti, A.: Almost-sure central limit theorem for a Markov model of random walk in dynamical random environment. Probab. Relat. Fields 109, 245–273 (1997)

    Article  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501, Bielefeld, Germany

    Wilhelm Stannat

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  1. Wilhelm Stannat
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Correspondence to Wilhelm Stannat.

Additional information

Mathematics Subject Classification (2000): 60F05, 60K37

Revised version: 29 January 2004

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Cite this article

Stannat, W. A remark on the CLT for a random walk in a random environment. Probab. Theory Relat. Fields 130, 377–387 (2004). https://doi.org/10.1007/s00440-004-0359-6

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  • Received: 10 August 2003

  • Published: 25 May 2004

  • Issue Date: November 2004

  • DOI: https://doi.org/10.1007/s00440-004-0359-6

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Keywords

  • Random Walk
  • Markov Model
  • Limit Theorem
  • Central Limit
  • Central Limit Theorem
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