Julien Barré

Large deviations, gradient flows and fluctuating hydrodynamics for fractional diffusion

This work is a step towards a general understanding of fluctuations for systems of particles described at large scale by fractional diffusion. First, we derive formally a Large Deviation Principle for the empirical measure of mean-field interacting particles with a L{\'e}vy-type noise. In the case of independent partic...