Using duality to derive hydrostatic and hydrodynamic limits for boundary driven particle systems

Probabilités et Statistique

Salle séminaire M3-324
Clément Erignoux
IMPA, Rio de Janeiro
Mercredi, 18 Octobre, 2017 - 10:30 - 11:30
Ongoing work with Claudio Landim (IMPA). The most common tool to derive hydrodynamic limits is the entropy method, which estimates the entropy of the measure of a particle system with respect to a nice -generally product- reference measure, which allows to estimate all relevant quantities thanks to the distance between the true measure of the process and the reference measure.

However, in some cases, this method fails, in particular for boundary driven dynamics. 

In this talk, I will explain how to use duality to prove hydrostatic and hydrodynamic limits, and will try to explain the reach and limitations of the duality method.