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The Geometry of a Parameter Space of Interacting Particle Systems

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Abstract

We study a four-parameter family of interacting particle systems containing the basic voter model and contact processes. Two processes in this family are related by duality or thinning if and only if their parameters belong to the same orbit of a certain one-dimensional group of linear mappings. This shows that many duals exist.

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

    Christoph Bandt

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  1. Christoph Bandt
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Bandt, C. The Geometry of a Parameter Space of Interacting Particle Systems. Journal of Statistical Physics 96, 883–906 (1999). https://doi.org/10.1023/A:1004614827017

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