The Dynamics of Multidimensional Secession: Fixed Points and Ideological Condensation

Arne Soulier and Tim Halpin-Healy
Phys. Rev. Lett. 90, 258103 – Published 25 June 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 d3, the evolving, coarsening population suffers collapse to a 2D ideological plane.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 24 September 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.258103

©2003 American Physical Society

Authors & Affiliations

Arne Soulier and Tim Halpin-Healy

  • Physics Department, Barnard College, Columbia University, New York, New York 10027-6598, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 25 — 27 June 2003

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×