Probability Theory and Related Fields

, Volume 109, Issue 2, pp 183–215

Averaged and quenched propagation of chaos for spin glass dynamics

  • A. Guionnet


We study the asymptotic behaviour for both asymmetric and symmetric spin glass dynamics in a Sherrington-Kirkpatrick model as proposed by Sompolinsky-Zippelius. We prove, without any condition on time and temperature, averaged propagation of chaos results. Extending this result to replicated systems, we conclude that the law of a single spin converges to a non Markovian probability measure, in law with respect to the random interaction.

Key words:Large deviations Interacting random processes Statistical mechanics Langevin dynamics 
AMS Subject of Classification (1991): 60F10 60H10 60K35 82C44 82C31 82C22 


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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • A. Guionnet
    • 1
  1. 1.Mathematiques, URA 743, CNRS, Université de Paris Sud, Bâtiment 425, F-91405 Orsay, FranceFR

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