7 citations
- Centre National de la Recherche ScientifiqueFR3 papers
- Université Paris-Est CréteilFR2 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR1 paper
- École PolytechniqueFR1 paper
- Laboratoire de Mathématiques Blaise PascalFR1 paper
- Laboratoire de Mathématiques d'OrsayFR1 paper
- Max Planck Institute for MathematicsDE1 paper
- Max Planck Institute for Mathematics in the SciencesDE1 paper
- Université Paris NanterreFR1 paper
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math.PR2005★ 7 cited
Concentration for independent random variables with heavy tails
Franck Barthe, Patrick Cattiaux, Cyril Roberto
If a random variable is not exponentially integrable, it is known that no concentration inequality holds for an infinite sequence of independent copies. Under mild conditions, we e…
math.PR2004★ 32 cited
Discretization methods for homogeneous fragmentations
Jean Bertoin, Alain Rouault
Homogeneous fragmentations describe the evolution of a unit mass that breaks down randomly into pieces as time passes. They can be thought of as continuous time analogs of a certai…
math.PR2004★ 2 cited
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry
F. Barthe, P. Cattiaux, C. Roberto
We introduce and study a notion of Orlicz hypercontractive semigroups. We analyze their relations with general -Sobolev inequalities, thus extending Gross hypercontractivity the…