Dynamics of Multidimensional Secession

Details Dynamics of Multidimensional Secession Dynamics of Multidimensional Secession

2002-09-19

arxiv.org/abs/cond-mat/0209451v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, PRL

Scientific paper

We explore a generalized Seceder Model with variable size selection groups and higher dimensional genotypes, uncovering its well-defined mean-field limiting behavior. Mapping to a discrete, deterministic version, we pin down the upper critical size of the multiplet selection group, characterize all relevant dynamically stable fixed points, and provide a complete analytical description of its self-similar hierarchy of multiple branch solutions.

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