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Part II: Random Walks in Random Environment

  • Ofer ZeitouniEmail author
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1837)

Contents.

  • 1 Introduction
    • 1.1 Model

    • 1.2 Examples

  • 2 RWRE - d = 1
    • 2.1 Ergodic theorems

    • 2.2 CLT for ergodic environments

    • 2.3 Large deviations

    • 2.4 The subexponential regime

    • 2.5 Sinai’s model: non standard limit laws and aging properties

  • 3 RWRE - d > 1
    • 3.1 Ergodic Theorems

    • 3.2 A Law of Large Numbers in \(\mathbb{Z}^d\)

    • 3.3 CLT for walks in balanced environments

    • 3.4 Large deviations for nestling walks

    • 3.5 Kalikow’s condition

  • References

Keywords

Random Walk Ergodic Theorem Markov Property Random Environment Large Deviation Principle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  1. 1.Departments of Electrical Engineering and of MathematicsTechnion - Israel Institute of TechnologyIsrael
  2. 2.Department of MathematicsUniversity of MinnesotaMinneapolisUSA

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