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Metastability of thed-dimensional contact process

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Abstract

We prove that thed-dimensional supercritical contact process exhibits metastable behavior, in the pathwise sense. This is done by proving the property of thermalization and using Mountford's theorem. We also extend some previous results on the loss of memory of the process.

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Authors and Affiliations

  1. Instituto de Matemática e Estatística, Universidade de São Paulo, CEP 05508-900, São Paulo, Brazil

    Adilson Simonis

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  1. Adilson Simonis
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Communicated by P. Ferrari

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Simonis, A. Metastability of thed-dimensional contact process. J Stat Phys 83, 1225–1239 (1996). https://doi.org/10.1007/BF02179561

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  • DOI: https://doi.org/10.1007/BF02179561

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