Chapter

Fractal Geometry and Stochastics IV

Volume 61 of the series Progress in Probability pp 145-174

A Survey of Dynamical Percolation

  • Jeffrey E. SteifAffiliated withMathematical Sciences, Chalmers University of TechnologyMathematical Sciences, Göteborg University

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Abstract

Percolation is one of the simplest and nicest models in probability theory/statistical mechanics which exhibits critical phenomena. Dynamical percolation is a model where a simple time dynamics is added to the (ordinary) percolation model. This dynamical model exhibits very interesting behavior. Our goal in this survey is to give an overview of the work in dynamical percolation that has been done (and some of which is in the process of being written up).

Mathematics Subject Classification (2000)

60K35

Keywords

Percolation exceptional times