The Kolmogorov equation in the stochastic fragmentation theory and branching processes with infinite collection of particle types

R. Ye. Brodskii and Yu. P. Virchenko

Abstract and Applied Analysis, 2006, vol. 2006, 1-10

Abstract:

The stochastic model for the description of the so-called fragmentation process in frameworks of Kolmogorov approach is proposed. This model is represented as the branching process with continuum set ( 0 , ∞ ) of particle types. Each type r ∈ ( 0 , ∞ ) corresponds to the set of fragments having the size r . It is proved that the branching condition of this process represents the basic equation of the Kolmogorov theory.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:036215

DOI: 10.1155/AAA/2006/36215

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