The arcsine law as a universal aging scheme for trap models
Article first published online: 28 DEC 2006
Copyright © 2006 Wiley Periodicals, Inc.
Communications on Pure and Applied Mathematics
Volume 61, Issue 3, pages 289–329, March 2008
How to Cite
Arous, G. B. and Černý, J. (2008), The arcsine law as a universal aging scheme for trap models. Comm. Pure Appl. Math., 61: 289–329. doi: 10.1002/cpa.20177
- Issue published online: 20 DEC 2007
- Article first published online: 28 DEC 2006
- Manuscript Received: MAR 2006
- DFG Research Center “Matheon”
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.