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March 2005 On the stochastic calculus method for spins systems
Samy Tindel
Ann. Probab. 33(2): 561-581 (March 2005). DOI: 10.1214/009117904000000919

Abstract

In this note we show how to generalize the stochastic calculus method introduced by Comets and Neveu [Comm. Math. Phys. 166 (1995) 549–564] for two models of spin glasses, namely, the SK model with external field and the perceptron model. This method allows to derive quite easily some fluctuation results for the free energy in those two cases.

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Samy Tindel. "On the stochastic calculus method for spins systems." Ann. Probab. 33 (2) 561 - 581, March 2005. https://doi.org/10.1214/009117904000000919

Information

Published: March 2005
First available in Project Euclid: 3 March 2005

zbMATH: 1074.82014
MathSciNet: MR2123201
Digital Object Identifier: 10.1214/009117904000000919

Subjects:
Primary: 60G15 , 60H10 , 82D30

Keywords: Cavity method , SK and perceptron models , Stochastic differential equations

Rights: Copyright © 2005 Institute of Mathematical Statistics

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Vol.33 • No. 2 • March 2005
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