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The arcsine law as a universal aging scheme for trap models

✍ Scribed by Gérard Ben Arous; Jiří Černý

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
297 KB
Volume
61
Category
Article
ISSN
0010-3640

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✦ Synopsis

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. © 2006 Wiley Periodicals, Inc.

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