Two-dimensional Poisson Trees converge to the Brownian web
نویسندگان
چکیده
منابع مشابه
Two-dimensional Poisson Trees converge to the Brownian web
The Brownian web can be roughly described as a family of coalescing one-dimensional Brownian motions starting at all times in R and at all points of R. The two-dimensional Poisson tree is a family of continuous time one-dimensional random walks with uniform jumps in a bounded interval. The walks start at the space–time points of a homogeneous Poisson process in R2 and are in fact constructed as...
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The two-dimensional Poisson tree is a family of continuous time one-dimensional random walks with bounded uniform jumps in R. The walks start at the space-time points of a homogeneous Poisson process in R and are in fact constructed as a function of the point process. This tree was introduced by Ferrari, Landim and Thorisson. The Brownian web can be roughly described as a family of coalescing o...
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The Brownian web can be roughly described as a family of coalescing onedimensional Brownian motions starting at all times in R and at all points of R. It was introduced by Arratia; a variant was then studied by Tóth and Werner; another variant was analyzed recently by Fontes, Isopi, Newman and Ravishankar. The two-dimensional Poisson tree is a family of continuous time one-dimensional random wa...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincare (B) Probability and Statistics
سال: 2005
ISSN: 0246-0203
DOI: 10.1016/j.anihpb.2004.06.003