Geodesic
A Conditional Functional Limit Theorem for Decomposable Branching Processes with Two Types of Particles
Matematičeskie zametki, Tome 101 (2017) no. 5, pp. 669-683

Voir la notice de l'article provenant de la source Math-Net.Ru

Consider a critical decomposable branching process with two types of particles in which particles of the first type give birth, at the end of their life, to descendants of the first type, as well as to descendants of the second type, while particles of the second type produce only descendants of the same type at the time of their death. We prove a functional limit theorem describing the distribution for the total number of particles of the second type appearing in the process in time $Nt$, $0\leq t\infty$, given that the number of particles of the first type appearing in the process during its evolution is $N$.
Keywords: decomposable branching process, total size of the population, functional limit theorem. 
@article{MZM_2017_101_5_a2,
     author = {V. A. Vatutin},
     title = {A {Conditional} {Functional} {Limit} {Theorem} for {Decomposable} {Branching} {Processes} with {Two} {Types} of {Particles}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {669--683},
     publisher = {mathdoc},
     volume = {101},
     number = {5},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_5_a2/}
}
TY  - JOUR
AU  - V. A. Vatutin
TI  - A Conditional Functional Limit Theorem for Decomposable Branching Processes with Two Types of Particles
JO  - Matematičeskie zametki
PY  - 2017
SP  - 669
EP  - 683
VL  - 101
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2017_101_5_a2/
LA  - ru
ID  - MZM_2017_101_5_a2
ER  - 
%0 Journal Article
%A V. A. Vatutin
%T A Conditional Functional Limit Theorem for Decomposable Branching Processes with Two Types of Particles
%J Matematičeskie zametki
%D 2017
%P 669-683
%V 101
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2017_101_5_a2/
%G ru
%F MZM_2017_101_5_a2
V. A. Vatutin. A Conditional Functional Limit Theorem for Decomposable Branching Processes with Two Types of Particles. Matematičeskie zametki, Tome 101 (2017) no. 5, pp. 669-683. http://geodesic.mathdoc.fr/item/MZM_2017_101_5_a2/