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Random walks on a percolation cluster: recurrence, speed and collisions

Presenter
February 23, 2012
MSRI
Keywords:
  • mathematical statistical mechanics
  • percolation
  • probability theory
  • phase transitions
  • scaling laws
  • SLE
  • Ising model
  • random walks
MSC:
  • 82C20
  • 82C26
  • 82C27
  • 82C05
  • 82C44
  • 82C43
  • 82Cxx
  • 82-xx
  • 82C41
Random walks on a percolation cluster: recurrence, speed and collisions Thumbnail
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Abstract
Consider the Bernoulli bond percolation on a graph G and suppose there is an infinite cluster C. We would like to compare C with G by running a random walk on C, hoping that G and C share many properties. We shall examine recurrence and speed of a random walk, and collisions of two independent random walks.
Abstract