Displaying similar documents to “Small deviations of Gaussian random fields in L q -spaces.”

Conditional principles for random weighted measures

Nathael Gozlan (2005)

ESAIM: Probability and Statistics

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In this paper, we prove a conditional principle of Gibbs type for random weighted measures of the form L n = 1 n i = 1 n Z i δ x i n , ( Z i ) i being a sequence of i.i.d. real random variables. Our work extends the preceding results of Gamboa and Gassiat (1997), in allowing to consider thin constraints. Transportation-like ideas are used in the proof.