Workshop: Interacting Particle Systems and Hydrodynamic Limits

Date: March 14-21, 2021
Organizers: Paul Chleboun, Alessandra Faggionato, Hubert Lacoin and Claudio Landim

The study of interacting particle systems is devoted to the rigorous analysis of a certain class of very high dimensional stochastic processes. These can be described in terms of a large number of randomly interacting components which evolve in a discrete space. While initially interest in the field was triggered by statistical mechanics, there are now numerous applications of these systems across the natural and social sciences; from electrical engineering, to sociology, via computer science, economics, population genetics and epidemiology. Interacting particle systems also provide a natural framework to study fundamental phenomena which occur in these applications, such as phase transitions, metastability and relaxation to equilibrium. One of the main goals is to understand and predict emergent behaviour on macroscopic scales, as a result of the microscopic dynamics and interactions of the individual components. In the past decades this field has grown in importance and established itself as one of the most active branches of probability theory. This workshop will in particular encompass the following topics: hydrodynamic limits, non-equilibrium fluctuations and metastability, Liouville quantum gravity and interface dynamics.

The aim of this workshop is to gather mathematicians working on various aspects of particle systems, during two weeks, to discuss and share recent progress in the field, with an eye toward stimulating new developments and introducing recent breakthroughs to a broader community. The first week will be mainly devoted to mini-courses, given by Cristina Toninelli and Hendrik Weber, and should be particularly valuable and accessible to graduate students and early career researchers, while the second week will be devoted to research talks and will include plenty of time for discussion and collaboration.