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

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...

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Bibliographic Details
Main Authors: R. Ye. Brodskii, Yu. P. Virchenko
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/36215
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