Colloquium du Ceremade (Thierry Bodineau, mardi 1er octobre)

Le prochain Colloquium du Ceremade est prévu le mardi 1er octobre à 15h30 en salle A709 avec l'intervention de Thierry Bodineau (Ecole Polytechnique).

Title : A renormalisation group perspective on functional inequalities

Abstract :
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.