The Annals of Probability
- Ann. Probab.
- Volume 36, Number 4 (2008), 1322-1358.
K-processes, scaling limit and aging for the trap model in the complete graph
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.
Ann. Probab., Volume 36, Number 4 (2008), 1322-1358.
First available in Project Euclid: 29 July 2008
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Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 60K37: Processes in random environments 82C44: Dynamics of disordered systems (random Ising systems, etc.)
Fontes, L. R. G.; Mathieu, P. K-processes, scaling limit and aging for the trap model in the complete graph. Ann. Probab. 36 (2008), no. 4, 1322--1358. doi:10.1214/07-AOP360. https://projecteuclid.org/euclid.aop/1217360971