Random walk in random environment: A counterexample without potential

Maury Bramson

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We describe a family of random walks in random environment which have exponentially decaying correlations, nearest neighbor transition probabilities which are bounded away from 0, and are subdiffusive in any dimension d<∞. The random environments have no potential in d>1.

Original languageEnglish (US)
Pages (from-to)863-875
Number of pages13
JournalJournal of Statistical Physics
Issue number3-4
StatePublished - Feb 1 1991


  • exponentially decaying correlations
  • random environment
  • Random walk
  • subdiffusive


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