Aging of asymmetric dynamics on the random energy model

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• 作者：Pierre Mathieu (1)
  Jean-Christophe Mourrat (2) (3)
  
  1. Aix Marseille Universit茅 ; CNRS ; Centrale Marseille ; I2M ; UMR 7373 ; 13453聽 ; Marseille ; France
  2. Ecole polytechnique f茅d茅rale de Lausanne ; Institut de math茅matiques ; Station 8 ; 1015聽 ; Lausanne ; Switzerland
  3. ENS Lyon ; CNRS ; 46 All茅e d鈥橧talie ; 69007聽 ; Lyon ; France
  
• 关键词：Random energy model ; Spin glasses ; Aging ; Age process ; 82C44 ; 82D30 ; 60K37
• 刊名：Probability Theory and Related Fields
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：161
• 期：1-2
• 页码：351-427
• 全文大小：717 KB
• 参考文献：1. Aldous, D., Fill, J. : Reversible Markov chains and random walks on graphs. Online version available at www.stat.berkeley.edu/aldous/RWG/book.html (in preparation)
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Probability Theory and Stochastic Processes
  Mathematical and Computational Physics
  Quantitative Finance
  Mathematical Biology
  Statistics for Business, Economics, Mathematical Finance and Insurance
  Operation Research and Decision Theory
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-2064

文摘

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.