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Communications in Mathematical Physics

, Volume 104, Issue 1, pp 87–102 | Cite as

Multidimensional random walks in random environments with subclassical limiting behavior

  • Richard Durrett
Article

Abstract

In this paper we will describe and analyze a class of multidimensional random walks in random environments which contain the one dimensional nearest neighbor situation as a special case and have the pleasant feature that quite a lot can be said about them. Our results make rigorous a heuristic argument of Marinari et al. (1983), and show that in anyd<∞ we can have (a)X n is recurrent and (b)X n ∼(logn)2.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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 1986

Authors and Affiliations

  • Richard Durrett
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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