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.

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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. 
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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/

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