Geodesic
Time Required to Unify All Particles in the Scheme of Equiprobable Allocation into a Sequence of Cell Layers
Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 373-381

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

We study the scheme of equiprobable allocations of particles into a sequence of cell layers, where the particles put into the same cell are considered as a single particle. We present conditions under which, with a positive probability, there exist nonunified particles at each of the layers. For the case in which the number of cells at each of the layers is equal to the number of original particles, we prove the limit theorem for the time instant at which all the particles are unified into a single particle.
Keywords: allocation of particles into cells, limit theorem, random variable
Mots-clés : Markov chain, convergence in distribution. 
@article{MZM_2009_85_3_a5,
     author = {A. M. Zubkov and O. K. Shibanov},
     title = {Time {Required} to {Unify} {All} {Particles} in the {Scheme} of {Equiprobable} {Allocation} into a {Sequence} of {Cell} {Layers}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {373--381},
     publisher = {mathdoc},
     volume = {85},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a5/}
}
TY  - JOUR
AU  - A. M. Zubkov
AU  - O. K. Shibanov
TI  - Time Required to Unify All Particles in the Scheme of Equiprobable Allocation into a Sequence of Cell Layers
JO  - Matematičeskie zametki
PY  - 2009
SP  - 373
EP  - 381
VL  - 85
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a5/
LA  - ru
ID  - MZM_2009_85_3_a5
ER  - 
%0 Journal Article
%A A. M. Zubkov
%A O. K. Shibanov
%T Time Required to Unify All Particles in the Scheme of Equiprobable Allocation into a Sequence of Cell Layers
%J Matematičeskie zametki
%D 2009
%P 373-381
%V 85
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a5/
%G ru
%F MZM_2009_85_3_a5
A. M. Zubkov; O. K. Shibanov. Time Required to Unify All Particles in the Scheme of Equiprobable Allocation into a Sequence of Cell Layers. Matematičeskie zametki, Tome 85 (2009) no. 3, pp. 373-381. http://geodesic.mathdoc.fr/item/MZM_2009_85_3_a5/