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The dynamics of multidimensional secession: fixed points and ideological condensation
Arne Soulier1, Tim Halpin-Healy
1Physics Department, Barnard College, Columbia University, New York, New York 10027-6598, USA.
Physical Review Letters
|July 15, 2003
Abstract:
We explore a generalized, stochastic seceder model of societal dynamics with variable size polling groups and higher-dimensional opinion vectors, revealing its essential modes of self-organized segregation. Renormalizing to a discrete, deterministic version, we pin down the upper critical size of the sampling group and analytically uncover a self-similar hierarchy of dynamically stable, multiple-branch fixed points. In d>/=3, the evolving, coarsening population suffers collapse to a 2D ideological plane.