Time required to unify all particles in the scheme of equiprobable allocation into a sequence of cell layers

DOI10.1134/S0001434609030079zbMath1186.60068OpenAlexW2036599143MaRDI QIDQ1033936

O. K. Shibanov, Andrey M. Zubkov

Publication date: 10 November 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434609030079

zbMATH Keywords

convergence in distributionMarkov chainrandom variablePoisson limit theoremallocation of particles into cellssequential merging of particlesunified particles

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stopping times; optimal stopping problems; gambling theory (60G40) Equilibrium statistical mechanics (82B99)

Related Items (1)

Stochastic operation induced by group allocation of particles and generalized branching processes

Cites Work

• Two-stage allocations and the double \(Q\)-function
• A Poisson limit theorem for a two-stage equiprobable scheme of allocating particles into cells
• Unnamed Item

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