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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/36215 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |