On the stochastic calculus method for spins systems
Samy Tindel
Source: Ann. Probab. Volume 33, Number 2 (2005), 561-581.
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.
Primary Subjects: 82D30, 60G15, 60H10
Keywords: SK and perceptron models; cavity method; stochastic differential equations
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aop/1109868591
Digital Object Identifier: doi:10.1214/009117904000000919
Mathematical Reviews number (MathSciNet):
MR2123201
Zentralblatt MATH identifier:
02164473
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Project Euclid: euclid.aop/1023481004
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