64 citations
- Département de mathématiques et applicationsFR18 papers
- École Normale Supérieure - PSLFR16 papers
- Université Paris Sciences et LettresFR8 papers
- Laboratoire de Mathématiques d'OrsayFR6 papers
- Centre National de la Recherche ScientifiqueFR3 papers
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- Centre de Mathématiques Appliquées de l'École polytechniqueFR2 papers
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- Sorbonne UniversitéFR2 papers
- Cancer et génome: Bioinformatique, biostatistiques et épidémiologie des systèmes complexes1 paper
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6 papers · 1 filter
Perron's capacity of random sets
Anthony Gauvan
Given a sequence of random variables uniformly distributed in and independent, we consider the following random sets of directions $$Ω_{\te…
A family of interpolation inequalities involving products of low-order derivatives
Frédéric Marbach
Gagliardo-Nirenberg interpolation inequalities relate Lebesgue norms of iterated derivatives of a function. We present a generalization of these inequalities in which the low-order…
Maximal operators on hyperbolic triangles
Anthony Gauvan, Samuel Bronstein, Romain Branchereau
We characterize the boundedness properties on the spaces of the maximal operator where is an arbitrary family of hyperbolic triang…
Sharp weak-type estimate for maximal operators associated to Cartesian families under an arithmetic condition
Anthony Gauvan
Given a set of integers , we consider the smallest family invariant by translation which contains the rectangles $$ R_{\boldsymbol{a}}…
Fast, Differentiable and Sparse Top-k: a Convex Analysis Perspective
Michael E. Sander, Joan Puigcerver, Josip Djolonga +2
The top-k operator returns a sparse vector, where the non-zero values correspond to the k largest values of the input. Unfortunately, because it is a discontinuous function, it is…
Improved Fractal Weyl upper bound in obstacle scattering
Lucas Vacossin
In this paper, we are interested in the problem of scattering by strictly convex obstacles in the plane. We provide an upper bound for the number of resonances in the box…