296 citations
- Centre National de la Recherche ScientifiqueFR15 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR14 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR11 papers
- École PolytechniqueFR11 papers
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- Centre de Mathématiques Laurent SchwartzFR3 papers
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4 papers · 1 filter
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…
On the null-controllability of the heat equation in unbounded domains
Luc Miller
We make two remarks about the null-controllability of the heat equation with Dirichlet condition in unbounded domains. Firstly, we give a geometric necessary condition (for interio…
Controllability cost of conservative systems: resolvent condition and transmutation
Luc Miller
This article concerns the exact controllability of unitary groups on Hilbert spaces with unbounded control operator. It provides a necessary and sufficient condition not involving…
Character expansion method for the first order asymptotics of a matrix integral
Alice Guionnet, Mylene Maida
The estimation of various matrix integrals as the size of the matrices goes to infinity is motivated by theoretical physics, geometry and free probability questions. On a rigorous…