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Averaged and quenched propagation of chaos for spin glass dynamics
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  • Published: October 1997

Averaged and quenched propagation of chaos for spin glass dynamics

  • A. Guionnet1 

Probability Theory and Related Fields volume 109, pages 183–215 (1997)Cite this article

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Summary.

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.

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Authors and Affiliations

  1. Mathematiques, URA 743, CNRS, Université de Paris Sud, Bâtiment 425, F-91405 Orsay, France, , , , , , FR

    A. Guionnet

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  1. A. Guionnet
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Received: 3 April 1995/In revised form: 2 April 1996

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Guionnet, A. Averaged and quenched propagation of chaos for spin glass dynamics. Probab Theory Relat Fields 109, 183–215 (1997). https://doi.org/10.1007/s004400050130

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  • Issue Date: October 1997

  • DOI: https://doi.org/10.1007/s004400050130

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  • 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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