Distribution of the particles of a critical branching Wiener process

Pál Révész

doi:10.3150/bj/1193758790

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Home > Journals > Bernoulli > Volume 2 > Issue 1 > Article

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

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Abstract

Consider a critical branching Wiener process in R^d. Let {F_T(x),T=1,2,...,x∈R^d} 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 F_T(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