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Quatre stages de mathématiques non-mixtes pour étudiantes de Licence

Résumé : We find the decomposition matrices of the Category $\mathcal{O}$ for rational Cherednik algebras of Coxeter groups of types $H_4$, $F_4$, $E_6$, $E_7$ and $E_8$. The decomposition matri...

Résumé : Let $V(x)$ be the number of sign changes of the partial sums up to $x$, say $M_f(x)$, of a Rademacher random multiplicative function $f$. We prove that the averaged value of $V(x)$ is a...

Résumé : For a topological space $X$, a topological contraction on $X$ is a closed mapping $f:X\to X$ such that for every open cover of $X$ there is a positive integer $n$ such that the image of...

Résumé : One of the versions of the wind-tree model of Boltzmann gas, suggested by Paul and Tatiana Ehrenfest more than a century ago, can be seen as a billiard in the plane endowed with $\mathb...

Résumé : In this article, we introduce the infinitesimal cohomology for rigid analytic spaces that are not necessarily smooth, with coefficients in a p-adic field or in Fontaine's de Rham period...