Clément Mouhot – University of Cambridge
Wednesday, July 30th, 2025
Zoom opens: 10:30AM DST
Seminar begins: 10:45AM DST
A consistency-stability approach to scaling limits of zero-range processes
We propose a simple quantitative method for studying the hydrodynamic limit of interacting particle systems on lattices. It is applied to the diffusive scaling of the symmetric Zero-Range Process (in dimensions one and two). The rate of convergence is estimated in a Monge-Kantorovich distance asymptotic to the L^1 stability estimate of Kruzhkov, as well as in relative entropy; and it is uniform in time. The method avoids the use of the so-called ``block estimates''. It is based on a modulated Monge-Kantorovich distance estimate and microscopic stability properties. (Joint work with Daniel Marahrens and Angeliki Menegaki).