K-processes, scaling limit and aging for the REM-like trap model

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We study K-processes, which are Markov processes in a denumerable state space, all of whose elements are stable, with the exception of a single state, starting from which the process enters finite sets of stable states with uniform distribution. We show how these processes arise, in a particular instance, as scaling limits of the REM-like trap model ``at low temperature'', and subsequently derive aging results for those models in this context.
31 pages

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Probability, 60K35, 60K37, 82C44

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http://salesiana.dossiersoluciones.com/handle/123456789/110108

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603198
 http://arxiv.org/abs/math/0603198

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arXiv