Super-Brownian Motion and Critical Spatial Stochastic Systems
Canadian mathematical bulletin, Tome 47 (2004) no. 2, pp. 280-297
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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.
Perkins, Ed. Super-Brownian Motion and Critical Spatial Stochastic Systems. Canadian mathematical bulletin, Tome 47 (2004) no. 2, pp. 280-297. doi: 10.4153/CMB-2004-028-2
@article{10_4153_CMB_2004_028_2,
author = {Perkins, Ed},
title = {Super-Brownian {Motion} and {Critical} {Spatial} {Stochastic} {Systems}},
journal = {Canadian mathematical bulletin},
pages = {280--297},
year = {2004},
volume = {47},
number = {2},
doi = {10.4153/CMB-2004-028-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-028-2/}
}
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