A polynomial endomorphism $f$ of $\mathbb C^k$ is regular if it can be holomorphically extended to $\mathbb P^k$. For $f$ of degree at least two, its equilibrium measure is the unique invariant probability measure …

We will consider random Schrödinger operators in 1d, both in the discrete and the continuum setting. It is known that for a large class of potentials, Anderson localisation holds: the spectrum is pure point and the …

Dans cet exposé, je présenterai des méthodes récemment développées pour étudier le comportement asymptotique de suites bivariées u(n,g) définies par récurrence. De telles récurrences apparaissent naturellement dans …

Je présenterai des travaux réalisés avec M.A. Jendoubi de l'université de Carthage sur le comportement asymptotique de solutions de systèmes dynamiques. Nous nous sommes principalement intéressés à retrouver des …

We will soon learn that statements in logarithmic geometry typically consist of two pieces – one handled by the traditional algebro-geometric canon and another that is combinatorial in nature. We will introduce the …

Purifications are ubiquitous in quantum information, where they are often regarded just as convenient mathematical representations of quantum states and channels. In this talk, we will explore instead their …

The talk deals with the Gross-Pitaevskii equation in a two-dimensional strip. This equation has explicit travelling wave solutions on the line that are called dark solitons and that remain travelling wave solutions …

In this talk, I will introduce two families of probabilistic objets. I'll start by presenting branching processes, which model a population of individuals and predict the demographic behavior of the population (will …