Small random perturbation of a classical mean field model

Alain Toubol

Stochastic Processes and their Applications, 1999, vol. 81, issue 1, 1-24

Abstract: The thermodynamic limit of a classical mean field system perturbed by a small Sherrington-Kirkpatrick term is derived. It is proved to exhibit behaviors that may strongly differ from the usual ones. Examples are given showing that every situation is likely to occur. The main tools that are used are large deviation techniques and conditioning.

Keywords: Mean; field; models; Sherrington-Kirkpatrick; model; Metastate (search for similar items in EconPapers)
Date: 1999
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