TITLE

THE KOLMOGOROV EQUATION IN THE STOCHASTIC FRAGMENTATION THEORY AND BRANCHING PROCESSES WITH INFINITE COLLECTION OF PARTICLE TYPES

AUTHOR(S)
Brodskii, R. Ye.; Virchenko, Yu. P
PUB. DATE
January 2006
SOURCE
Abstract & Applied Analysis;2006, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
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.
ACCESSION #
24081211

 

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