Aging of asymmetric dynamics on the random energy model

Pierre Mathieu; Jean Christophe Mourrat

doi:10.1007/s00440-014-0551-2

Aging of asymmetric dynamics on the random energy model

Pierre Mathieu, Jean Christophe Mourrat

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show aging of Glauber-type dynamics on the random energy model, in the sense that we obtain the annealed scaling limits of the clock process and of the age process. The latter encodes the Gibbs weight of the configuration occupied by the dynamics. Both limits are expressed in terms of stable subordinators.

Original language	English (US)
Pages (from-to)	351-427
Number of pages	77
Journal	Probability Theory and Related Fields
Volume	161
Issue number	1-2
DOIs	https://doi.org/10.1007/s00440-014-0551-2
State	Published - Feb 2014

Keywords

Age process
Aging
Random energy model
Spin glasses

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/s00440-014-0551-2

Cite this

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Aging of asymmetric dynamics on the random energy model

Abstract

Keywords

ASJC Scopus subject areas

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