Distribution of the particles of a critical branching Wiener process
Révész, Pál
Bernoulli, Tome 2 (1996) no. 3, p. 63-80 / Harvested from Project Euclid
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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.
Publié le : 1996-03-14
Classification:  critical branching Wiener process,  empirical distribution of particles,  limit theorems,  measure-valued process 
@article{1193758790,
     author = {R\'ev\'esz, P\'al},
     title = {Distribution of the particles of a critical branching Wiener process},
     journal = {Bernoulli},
     volume = {2},
     number = {3},
     year = {1996},
     pages = { 63-80},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1193758790}
}

Révész, Pál. Distribution of the particles of a critical branching Wiener process. Bernoulli, Tome 2 (1996) no. 3, pp.  63-80. http://gdmltest.u-ga.fr/item/1193758790/