Convidamos a todos para a videoconferência Symmetric exclusion with reservoirs no Webinários de Matemática do PPGMat no dia 9 de setembro às 10 horas.
Symmetric exclusion with reservoirs
Patrícia Gonçalves (IST, Lisboa)
09 de Setembro de 2020 – 10:00h (horário de Brasília)
Videoconferência: https://meet.google.com/bjh-pwkz-stv
Resumo: In this seminar I will describe the derivation of some partial differential equations that rule the space-time evolution of the density of some stochastic processes. The goal is to describe the connection between the macroscopic (continuous) equations and the microscopic (discrete) system of random particles. The former can be either PDEs or stochastic PDEs depending on whether one is looking at the law of large numbers or the central limit theorem scaling; while the latter is a collection of particles that move randomly according to a transition probability. I will focus on a model for which we can obtain a collection of (fractional) reaction-diffusion equations given in terms of the regional fractional Laplacian with different types of boundary conditions. This is a joint work with Cédric Bernardin, Byon Jiménez-Oviedo and Stefano Scotta.