Title: Quantitative Hydrodynamics for a Generalized Contact Process
Speaker: Milton Jara (IMPA)
Our next seminar will be held on Monday, September 23, from 3:30 p.m. to 4:30 p.m. (Rio de Janeiro local time). This meeting will take place at room C116 - Bloco C - CT – Instituto de Matemática – UFRJ. There will be no transmission online.
Abstract: We use the framework of Quantitative Hydrodynamics to derive a CLT around its hydrodynamic limit for an interacting particle system inspired by integrate-and-fire neuron models. The hydrodynamic limit of this model was originally derived by Chariker, De Masi, Lebowitz and Presutti, and as an important intermediate step we show that this convergence holds at optimal L^2-speed.
Joint with Julian Amorim and Yangrui Xiang.
More complete information about the seminars can be found at
https://www.dme.ufrj.br/?page_id=3583
Sincerely,
Organizers: Giulio Iacobelli and Maria Eulalia Vares