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Metastability of thed-dimensional contact process
Authors:Adilson Simonis
Institution:(1) Instituto de Matemática e Estatística, Universidade de São Paulo, CEP 05508-900 São Paulo, Brazil
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.
Keywords:Contact process  metastability  loss of memory  thermalization  infinite-particle systems
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