Metastable behavior of stochastic dynamics: A pathwise approach |
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| Authors: | Marzio Cassandro Antonio Galves Enzo Olivieri Maria Eulália Vares |
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| Affiliation: | (1) Istituto di Fisica dell'Università di Roma, Roma, Italy;(2) Instituto de Matemática e Estatistica, Universidade de São Paulo, São Paulo, Brazil;(3) Istituto di Matematica dell'Università di Roma, Roma, Italy;(4) Instituto de Matemática Pura e Applicade, IMPA, Rio de Janeiro, Brazil |
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| Abstract: | In this paper a new approach to metastability for stochastic dynamics is proposed. The basic idea is to study the statistics of each path, performing time averages along the evolution. Metastability would be characterized by the fact that the process of these time averages converges, under a suitable rescaling, to a measure valued Markov jump process. Here this convergence is shown for the Curie-Weiss mean field dynamics and also for a model with spatial structure: Harris contact process.Partially supported by CNPq, Grant No. 301301/79. |
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| Keywords: | Metastability stochastic dynamics mean field theory contact process |
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