Uperieure S Ormale N Ecole Annealed and Quenched Propagation of Chaos for Asymmetric Spin Glass Dynamics Annealed and Quenched Propagation of Chaos for Asymmetric Spin Glass Dynamics Annealed and Quenched Propagation of Chaos for Asymmetric Spin Glass Dynamics
نویسندگان
چکیده
We study the asymptotic behavior of asymmetrical spin glass dynamics in a Sherrington-Kirkpatrick model as proposed by Sompolinsky-Zippelius. We prove, without any condition on time and temperature, an annealed propagation of chaos result. 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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