Aging of asymmetric dynamics on the random energy model

• 成果类型: Article
• 署名作者: Mathieu, Pierre; Mourrat, Jean-Christophe
• 署名单位: Aix-Marseille Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; Centre National de la Recherche Scientifique (CNRS); Ecole Normale Superieure de Lyon (ENS de LYON)
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-014-0551-2
• 发表日期: 2015
• 页码: 351-427
• 关键词: random-environments; glauber dynamics; Scaling Limit; random-walks; trap model; CONVERGENCE; rem; UNIVERSALITY

摘要

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.