The speed of biased random walk on percolation clusters

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Abstract

We consider biased random walk on supercritical percolation clusters in ℤ2. We show that the random walk is transient and that there are two speed regimes: If the bias is large enough, the random walk has speed zero, while if the bias is small enough, the speed of the random walk is positive.

Original languageEnglish
Pages (from-to)221-242
Number of pages22
JournalProbability Theory and Related Fields
Volume126
Issue number2
DOIs
StatePublished - Jun 2003

Keywords

  • Percolation
  • Random walk

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