In this seminar we are going to see how a specific instance of the discrete Painlevé II equations appear in the Poissonized Plancherel model for integer partitions, a classical result from 2000 (Borodin, Adler-Van …

Les réseaux de neurones permettent de générer des images, des champs physiques, du langage, de qualités impressionnantes. Comment arrivent ils à contourner la malédiction de la grande dimension ? Mémorisent ils les …

In this talk, I will present a study of the singular part of measures and some consequences (typically, L^1 elliptic and hypo-elliptic regularity results). The proofs rely on a geometric measure theory approach of …

Motivated by the study of splitting schemes for the Hodgkin-Huxley model, we introduce a novel localized version of the fundamental mean-square convergence theorem for numerical schemes for SDEs with locally …

Bilevel problems are optimization problems characterized by a hierarchical structure. In these problems, one seeks to minimize an outer function subject to the constraint that certain variables solve an inner …

Étant donnée une variété de Poisson, une méthode de quantification (dite par déformation) consiste à construire un produit sur les séries formelles sur les fonctions lisses de la variété. Ce produit doit à l'ordre …

Optimal stopping problems lie at the interface of probability, statistics, and sequential decision theory. They model situations in which decisions must be made online, using only the information revealed so far and …