Aging of asymmetric dynamics on the random energy model

作者：Mathieu Pierre; Mourrat Jean Christophe^*

来源：Probability Theory and Related Fields, 2015, 161(1-2): 351-427.

DOI：10.1007/s00440-014-0551-2

• Random energy model
• Spin glasses
• Aging
• Age process

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.

• 出版日期2015-2