Department of Mathematics
Colloquium
by
Prof. Srinivasa S.R. Varadhan

We will study interacting particle systems under hydrodynamic scaling. Hydrodynamic scaling refers to rescaling of space and time and averaging fluctuations at the microscopic scale while fixing the macroscopic variables. It resembles the transition from classical mechanics (a microscopic description at the level of particles) to fluid mechanics (a macroscopic description that does not care about the individual location of the particles). While the transition from classical mechanics to fluid dynamics is mainly heuristic with very few rigorous results, in the case of stochastic interacting particle systems, the noise in the dynamics helps in proving riogorous results in the corresponding transition.