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.
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Partially supported by CNPq, Grant No. 301301/79.
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Cassandro, M., Galves, A., Olivieri, E. et al. Metastable behavior of stochastic dynamics: A pathwise approach. J Stat Phys 35, 603–634 (1984). https://doi.org/10.1007/BF01010826
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DOI: https://doi.org/10.1007/BF01010826