Models of fragmentation and partitioning phenomena based on the symmetric groupSnand combinational analysis
- 1 November 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 44 (10) , 6294-6312
- https://doi.org/10.1103/physreva.44.6294
Abstract
Various models for fragmentation and partitioning phenomena are developed using methods from permutation groups and combinational analysis. The appearance and properties of power laws in these models are discussed. Several exactly soluble cases are studied. An application to nuclear fragmentation and clusterization is given. A connection with Ewens’s approach [Theor. Popul. Biol. 3, 87 (1972); Mathematical Population Genetics (Springer, Berlin, 1979)] to genetic diversity is mentioned. Applications to the social behavior of a vervet monkey troop and to the group behavior of people are given.Keywords
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