RarE and Typical fluctuation in non-Equilibrium classical and quaNtUm physics – RETENU

Ranging from nanosystems to macroscopic systems, classical or quantum, stochastic processes are essential to describe our world. The randomness may be inherent to the law of physics (quantum mechanics), to report on our ignorance of the complex interactions of these systems (noisy systems), or consciously introduced in order to have a statistical view of the system by forgetting some information, e.g. by coarse-graining procedures (statistical physics). This project aims to focus on homogenization theory to answer fundamental challenging questions occurring in non-equilibrium classical and quantum statistical physics. The research program is divided in two parts: the first one concerns large deviations problems for infinite dimensional slow-fast systems (with applications for example in active matter); the second one concerns homogenization problems in quantum systems subject to noise induced by measurement or by environment interaction.