Communications in Mathematical Physics

, Volume 119, Issue 2, pp 199–211 | Cite as

Random walk in random environment: A counterexample?

  • Maury Bramson
  • Richard Durrett


We describe a family of random walks in random environments which have exponentially decaying correlations, nearest neighbor transition probabilities which are bounded away from 0, and yet are subdiffusive in any dimensiond<∞.


Neural Network Statistical Physic Complex System Random Walk Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Maury Bramson
    • 1
  • Richard Durrett
    • 2
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA
  2. 2.Department of MathematicsCornell UniversityIthacaUSA

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