Abstract
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.
Details
Title
The arcsine law as a universal aging scheme for trap models
Author(s)
Ben Arous, Gerard ; Cerny, Jiri
Published in
Communications On Pure And Applied Mathematics
Volume
61
Pages
289-329
Date
2008
Other identifier(s)
View record in Web of Science
Laboratories
SB
Record Appears in
Scientific production and competences > Unattributed publications > SB - SB - Unattributed publications
Scientific production and competences > SB - School of Basic Sciences > SB - Unattributed publications
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > SB - Unattributed publications
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2010-11-30