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July 2008 K-processes, scaling limit and aging for the trap model in the complete graph
L. R. G. Fontes, P. Mathieu
Ann. Probab. 36(4): 1322-1358 (July 2008). DOI: 10.1214/07-AOP360


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 trap model in the complete graph, and subsequently derive aging results for those models in this context.


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L. R. G. Fontes. P. Mathieu. "K-processes, scaling limit and aging for the trap model in the complete graph." Ann. Probab. 36 (4) 1322 - 1358, July 2008.


Published: July 2008
First available in Project Euclid: 29 July 2008

zbMATH: 1154.60073
MathSciNet: MR2435851
Digital Object Identifier: 10.1214/07-AOP360

Primary: 60K35 , 60K37 , 82C44

Keywords: Aging , K-process , processes in denumerable state spaces , random energy model , Scaling limit , trap models

Rights: Copyright © 2008 Institute of Mathematical Statistics


Vol.36 • No. 4 • July 2008
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