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Super-Brownian Motion and Critical Spatial Stochastic Systems

  Published:2004-06-01
 Printed: Jun 2004
  • Ed Perkins
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Abstract

This article is a short introduction to super-Brownian motion. Some of its properties are discussed but our main objective is to describe a number of limit theorems which show super-Brownian motion is a universal limit for rescaled spatial stochastic systems at criticality above a critical dimenson. These systems include the voter model, the contact process and critical oriented percolation.
 

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