Aging of asymmetric dynamics on the random energy model

Pierre Mathieu, Jean Christophe Mourrat

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)351-427
Number of pages77
JournalProbability Theory and Related Fields
Volume161
Issue number1-2
DOIs
StatePublished - 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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