Dear all,

On Monday November 10, Milton Jara will give a seminar at the Department of Mathematics of Sapienza University. Below you can find the details. Thanks Saluti Alessandra ************************************************

*Monday, November 10 2025*

*16:15, Sala di Consiglio, Dipartimento di Matematica*

*Speaker: *Milton Jara (Impa, Rio de Janeiro)

*Title*: Quantitative Hydrodynamics for a generalized contact model

*Abstract: *We use the formalism of Quantitative Hydrodynamics to improve the quantitative hydrodynamic limit obtained in Chariker, De Masi, Lebowitz and Presutti (2023) for an interacting particle system inspired by integrate-and-fire neuron models. Our estimates are good enough to show that the typical fluctuations around the aforementioned hydrodynamic limit are Gaussian, and governed by an inhomogeneous stochastic linear equation.

Joint work with Julian Amorim (IMPA) and Yangrui Xiang (Louisiana State University)