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March 1996 Distribution of the particles of a critical branching Wiener process
Pál Révész
Bernoulli 2(1): 63-80 (March 1996). DOI: 10.3150/bj/1193758790

Abstract

Consider a critical branching Wiener process in Rd. Let {FT(x),T=1,2,...,x∈Rd} be the distribution of the particles living at time T. The main result of this paper tells us that any given absolutely continuous function F(x) will be well approximated by FT(x) with positive probability if T is big enough and the process does not die out up to T.

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Pál Révész. "Distribution of the particles of a critical branching Wiener process." Bernoulli 2 (1) 63 - 80, March 1996. https://doi.org/10.3150/bj/1193758790

Information

Published: March 1996
First available in Project Euclid: 30 October 2007

zbMATH: 0859.60077
MathSciNet: MR1394052
Digital Object Identifier: 10.3150/bj/1193758790

Keywords: critical branching Wiener process , empirical distribution of particles , limit theorems , Measure-valued process

Rights: Copyright © 1996 Bernoulli Society for Mathematical Statistics and Probability

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Vol.2 • No. 1 • March 1996
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