MAT Palestras - Teoria da Probabilidade

Large deviations for a non-markovian particle system

Nesta palestra vamos discutir o modelo estocástico de Kuramoto com atrasos. Este é um modelo frutífero para redes neuronais e há várias questões interessantes sobre ele.
Guilherme Reis - Universidade Federal da Bahia em 01/10/2021

Abstract

In this talk we will discuss the stochastic Kuramoto model with delays. This is a fruitful model for neuronal networks and there are several interesting questions about it. In the talk we are interested in the behaviour of a typical particle of this particle system, which can be described through a path-dependent McKean-Vlasov PDE. More precisely, we employ decoupling techniques to derive large deviations and law of large numbers for the system with a characterization of the limit. The talk is based in a work in collaboration with Rangel Baldasso (Leiden University) and Alan Pereira (UFAL).

Local e Data

Tema: Large deviations for a non-markovian particle system
Palestrante: Guilherme Reis - Universidade Federal da Bahia
Data: 01/10/2021