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Super-Brownian Motion and Critical Spatial Stochastic Systems

Published online by Cambridge University Press:  20 November 2018

Ed Perkins
Ed Perkins*
Affiliation:
Department of Mathematics University of British Columbia Vancouver, British Columbia V6T 1Z2
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Abstract

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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.

Keywords

60G5760J8060H1560K35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 2 , 01 June 2004 , pp. 280 - 297
Copyright
Copyright © Canadian Mathematical Society 2004

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