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Particle Systems Acting on Undirected Graphs

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Abstract

We study a class of interacting particle systems where the states of two neighboring sites are simultaneously changed in dependence on their previous states. For two states, this class is parametrized by six parameters. Duality and existence of stationary distributions is discussed.

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Authors and Affiliations

  1. Institut für Mathematik und Informatik, Arndt-Universität, 17487, Greifswald, Germany

    C. Bandt & F. Kriese

  2. Lehrstuhl für Biomathematik, Universität Tübingen, 72076, Tübingen, Germany

    K. P. Hadeler

Authors
  1. C. Bandt
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  2. K. P. Hadeler
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  3. F. Kriese
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Bandt, C., Hadeler, K.P. & Kriese, F. Particle Systems Acting on Undirected Graphs. Journal of Statistical Physics 91, 571–586 (1998). https://doi.org/10.1023/A:1023073426426

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