The dynamics of multidimensional secession: fixed points and ideological condensation.
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.
Soulier
Arne
A
Physics Department, Barnard College, Columbia University, New York, New York 10027-6598, USA.
Halpin-Healy
Tim
T
D008954:Models, Biological; D008962:Models, Theoretical; D013269:Stochastic Processes