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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 attractorsof the empirical measure under mean field Gibbs measures.We prove that a mild change of the densitiesof these measures does not affect the central limit theorems.We apply this result to generalize the assumptionsof [3] and [12] on the densities of the Gibbs measures toget precise Laplace estimates.
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- © EDP Sciences, SMAI, 1999