Ben Arous, Gerard
Cerny, Jiri
The arcsine law as a universal aging scheme for trap models
Communications On Pure And Applied Mathematics
Communications On Pure And Applied Mathematics
Communications On Pure And Applied Mathematics
Communications On Pure And Applied Mathematics
61
Random Energy-Model
Glauber Dynamics
Bouchauds Model
Random-Walks
Dimension
2008
2008
We give a general proof of aging for trap models using the arcsine law for stable subordinators. This proof is based on abstract conditions on the potential theory of the underlying graph and on the randomness of the trapping landscape. We apply this proof to aging for trap models on large, two-dimensional tori and for trap dynamics of the random energy model on a broad range of time scales. (C) 2006 Wiley Periodicals, Inc.
Communications On Pure And Applied Mathematics
Journal Articles
10.1002/cpa.20177