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Stability of precise Laplace's method under approximations;Applications
Published online by Cambridge University Press: 15 August 2002
Abstract
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.
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- © EDP Sciences, SMAI, 1999