## Overview

- Functional, Probability Theory and Stochastic Analysis, Mathematical Physics;
- Analysis on Infinite Dimensional Spaces, including Non-Commutative * - Algebras and Spaces;
- Coercive Inequalities and Isoperimetry : Logarithmic Sobolev, Generalized Nash and Logarithmic Nash,

Isoperimetric Inequalities; Applications to Markov (Linear and Non-linear) semigroups; - Statistical Mechanics: Large Interacting Systems, Gibbs Measures and Stochastic Dynamics;