Séminaire Analyse-Probabilités

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MASSACCESI Annalisa (Università degli Studi di Padova)

Le 17/09/2024
De 10:30 à 11:30
Titre : Recent developments on Besicovitch's 1/2 problem

Résumé : Besicovitch's 1/2 problem investigates the smallest threshold σ guaranteeing rectifiability for a set with Hausdorff 1-dimensional finite measure when the lower density of the set is larger than σ almost everywhere. Besicovitch conjectured that σ=1/2 (hence the name of the problem) and proved σ≦3/4, then Preiss and Tišer improved the bound to σ≦(2+√(46))/12~0.73186.... In a recent work in collaboration with C. De Lellis, F. Glaudo and D. Vittone, we devise a strategy to improve the bound by means of a hierarchy of variational problems and we reach a proof that σ≦0.7. In this seminar, I will try to explain the fairly intuitive geometric idea behind this strategy and I will try to summarize both the computational obstacles and the intrinsic obstacles that are still in the way.

Salle : A711

Colloquium du CEREMADE

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BODINEAU Thierry (Ecole Polytechnique)

Le 01/10/2024
De 15:30 à 16:30
Titre : A renormalisation group perspective on functional inequalities

Résumé : Functional inequalities provide information on the structure of a probability measure and on the relaxation of associated stochastic dynamics to equilibrium. In this talk, we will describe a multiscale analysis for decomposing high-dimensional measures into simpler structures and derive from it functional inequalities. The strategy is based on the renormalization group method used in statistical physics to study the distribution of interacting particle systems. We will also review related developments and in particular show that this decomposition of measures can be interpreted in terms of measure transport.

Salle : A709

Séminaire Analyse-Probabilités

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FLISS Sonia (ENSTA Paris)

Le 08/10/2024
De 10:30 à 11:30
Titre : TBA

Résumé :

Salle : A711

Séminaire Analyse-Probabilités

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ELAD-ALTMAN Henri (LAGA - Université Sorbonne Paris Nord)

Le 15/10/2024
De 10:30 à 11:30
Titre : TBA

Résumé :

Salle : A711

Séminaire Analyse-Probabilités

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REBJOCK Quentin (EPFL)

Le 12/11/2024
De 10:30 à 11:30
Titre : TBA

Résumé :

Salle : A711

Séminaire Analyse-Probabilités

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BROFFERIO Sara (Université Paris Est Créteil)

Le 19/11/2024
De 10:30 à 11:30
Titre : TBA

Résumé :

Salle : A711

Séminaire Analyse-Probabilités

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ERTZBISCHOFF Lucas (Ceremade - Université Paris Dauphine PSL)

Le 26/11/2024
De 10:30 à 11:30
Titre : TBA

Résumé :

Salle : A711

Séminaire Analyse-Probabilités

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BORDENAVE Charles (Institut de Mathématiques de Marseille)

Le 10/12/2024
De 10:30 à 11:30
Titre : TBA

Résumé :

Salle : A711