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Metastable behavior of stochastic dynamics: A pathwise approach (1984)

Cassandro, Marzio ; Galves, Antonio ; Olivieri, Enzo ; [et al.]

Springer

Journal of statistical physics 35 (1984), S. 603-634

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ISSN: 1572-9613

Keywords: Metastability ; stochastic dynamics ; mean field theory ; contact process

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01010826

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