On the stochastic calculus method for spins systems

Details On the stochastic calculus method for spins systems On the stochastic calculus method for spins systems

2005-03-29

arxiv.org/abs/math/0503652v1

Annals of Probability 2005, Vol. 33, No. 2, 561-581

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117904000000919 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117904000000919

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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