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20022013
most citedExistence and uniqueness results for the Boussinesq system with data in Lorentz spaces

117 citations

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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…