5 citations · 5 across the 1 of their papers we have counts for
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Characterization of Talagrand's Like Transportation-Cost Inequalities on the Real Line
Nathael Gozlan
In this paper, we give necessary and sufficient conditions for Talagrand's like transportation cost inequalities on the real line. This brings a new wide class of examples of proba…
Integral Criteria for Transportation-Cost Inequalities
Nathael Gozlan
In this paper, we provide a characterization of a large class of transportation-cost inequalities in terms of exponential integrability of the cost function under the reference pro…
A large deviation approach to some transportation cost inequalities
Nathael Gozlan, Christian Léonard
New transportation cost inequalities are derived by means of elementary large deviation reasonings. Their dual characterization is proved; this provides an extension of a well-know…
Deviations bounds and conditional principles for thin sets
Patrick Cattiaux, Nathael Gozlan
The aim of this paper is to use non asymptotic bounds for the probability of rare events in the Sanov theorem, in order to study the asymptotics in conditional limit theorems (Gibb…