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Stability of precise Laplace's method under approximations;Applications

Published online by Cambridge University Press:  15 August 2002

A. Guionnet*
URA 743 du CNRS, bâtiment 425, Université de Paris Sud, 91405 Orsay, France.
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We study the fluctuations around non degenerate attractors of the empirical measure under mean field Gibbs measures. We prove that a mild change of the densities of these measures does not affect the central limit theorems. We apply this result to generalize the assumptions of [3] and [12] on the densities of the Gibbs measures to get precise Laplace estimates.

Research Article
© EDP Sciences, SMAI, 1999

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