An invariance principle for the edge of the branching exclusion process
نویسندگان
چکیده
منابع مشابه
An invariance principle for the edge of the branching exclusion process
We consider the one dimensional nearest neighbor branching exclusion process with initial configurations having a rightmost particle. We prove that, conveniently resealed, the position of the rightmost particle (edge) converges to a nondegenerate Brownian motion. Convergence to a convex combination of measures concentrating on the full and empty configurations at the average position of the edg...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 1991
ISSN: 0304-4149
DOI: 10.1016/0304-4149(91)90069-o