The arcsine law as a universal aging scheme for trap models

Details The arcsine law as a universal aging scheme for trap models The arcsine law as a universal aging scheme for trap models

2006-03-14

arxiv.org/abs/math/0603340v1

Mathematics

Probability

36 pages

Scientific paper

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.

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