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2008, Volume 20, Issue 4: 1095-1109. Doi: 10.3934/dcds.2008.20.1095
This issue Previous Article Rotation numbers and Lyapunov stability of elliptic periodic solutions Next Article Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space

Right-permutative cellular automata on topological Markov chains

  • 1.

    Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción, Casilla 160-C, correo 3, Concepción

Received:  November 2006
Revised:  September 2007
Published:  October 2008
Abstract Related Papers Cited by
    Abstract
  • In this paper we consider cellular automata $(G,\Phi)$ with algebraic local rules and such that $G$ is a topological Markov chain which has a structure compatible to this local rule. We characterize such cellular automata and study the convergence of the Cesàro mean distribution of the iterates of any probability measure with complete connections and summable decay.
    Mathematics Subject Classification: Primary: 37B15, 54H20; Secondary: 28D99, 37B20.

    Citation:
    shu

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