Spatial Models

  • Nino Boccara
Part of the Graduate Texts in Physics book series (GTP)


The essential points of this chapter are The definition of a cellular automaton The definition of the local evolution rule The definition of an elementary cellular automaton The definition of the Wolfram code number of a rule The properties of a few examples of elementary cellular automata The evolution of a cellular automaton toward its limit set as the results of interacting particle-like structures The theorem giving the conditions under which a cellular automaton is number-conserving The definition of an eventually number-conserving cellular automaton and examples of this type of cellular automata The definition of a site-exchange cellular automaton The definition of spatial models without assuming that the space is a periodic grid Models of spatial segregation The Axelrod model of dissemination of culture Models formulated in terms of game theory


Cellular Automaton Spatial Model Empty Site Elementary Cellular Automaton Cellular Automaton Rule 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Dept. PhysicsUniversity of Illinois, ChicagoChicagoUSA

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