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Discrete schemes for processes in random media
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  • Published: November 2000

Discrete schemes for processes in random media

  • Paul Seignourel1 

Probability Theory and Related Fields volume 118, pages 293–322 (2000)Cite this article

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Abstract.

We present discrete schemes for processes in random media. We prove two results. The first one is the convergence of Sinai's random walks in random environments to the Brox model. The second one is the convergence of random walks in media with random “gates” to a continuous process in a Poisson potential. The proofs are based on the following idea: we consider the discrete media as random potentials for continuous models.

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Authors and Affiliations

  1. CMAP, Ecole Polytechnique, 91128, Palaiseau Cedex France. e-mail: seignour@moka.ccr.jussieu.fr, , , , , , FR

    Paul Seignourel

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  1. Paul Seignourel
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Received: 6 May 1999 / Revised version: 18 October 1999 / Published online: 20 October 2000

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Cite this article

Seignourel, P. Discrete schemes for processes in random media. Probab Theory Relat Fields 118, 293–322 (2000). https://doi.org/10.1007/PL00008743

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  • Issue Date: November 2000

  • DOI: https://doi.org/10.1007/PL00008743

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Keywords

  • Continuous Model
  • Continuous Process
  • Discrete Scheme
  • Random Environment
  • Random Medium
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