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Attractors, statistics and fluctuations of the dynamics of the Schelling’s model for social segregation

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Abstract

Statistical properties, fluctuations and probabilistic arguments are shown to explain the robust dynamics of the Schelling’s social segregation model. With the aid of probability density functions we characterize the attractors for multiple external parameters and conditions. We discuss the role of the initial states and we show that, indeed, the system evolves towards well defined attractors. Finally, we provide probabilistic arguments to explain quantitatively the observed behavior.

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Authors and Affiliations

  1. Facultad de Ingeniería y Ciencias, Universidad Adolfo Ibáñez, Avda. Diagonal las Torres 2640, Peñalolén, Santiago, Chile

    Vasco Cortez, Eric Goles & Sergio Rica

  2. CEIBA Complex Systems Research Center and Departamento de Ingeniería Industrial, Universidad de los Andes, Bogotá, Colombia

    Pablo Medina & Roberto Zarama

  3. Institut Non Lin´eaire de Nice, UMR 6618 CNRS-UNSA, 1361 Route des Lucioles, 06560, Valbonne, France

    Sergio Rica

Authors
  1. Vasco Cortez
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  2. Pablo Medina
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  3. Eric Goles
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  4. Roberto Zarama
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  5. Sergio Rica
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Correspondence to Sergio Rica.

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Cortez, V., Medina, P., Goles, E. et al. Attractors, statistics and fluctuations of the dynamics of the Schelling’s model for social segregation. Eur. Phys. J. B 88, 25 (2015). https://doi.org/10.1140/epjb/e2014-50603-5

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  • DOI: https://doi.org/10.1140/epjb/e2014-50603-5

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