Seminários de probabilidade – Primeiro Semestre de 2025

Quando forem online, as palestras ocorrerão via Google Meet às segundas-feiras às 15h30, a menos de algumas exceções devidamente indicadas.

Quando forem presenciais, as palestras ocorrerão na sala C-116 às segundas-feiras às 15h30, a menos de algumas exceções devidamente indicadas.

Todas as palestras são em inglês.

Lista completa (palestras futuras podem sofrer alterações)

We consider a system of binary interacting chains describing the dynamics of a group of N individuals that, at each time unit, either send some signal to the others or remain silent otherwise. The interactions among the chains are encoded by a directed Erdos-Renyi random graph with unknown edge probability 0 p 1. Moreover, the system is structured into two communities (excitatory chains versus inhibitory ones) which are coupled via a mean field interaction on the underlying Erdös-Rényi graph. These two communities are also unknown. Last year, I gave a talk at the DME Statistics Seminar discussing how one could estimate the edge probability p based only on the observation of the interacting chains over T time units. In this talk, I will address the complementary question of how to distinguish between the excitatory and inhibitory chains. I will also highlight some of the probabilistics tools we used to tackle this problem.

The results presented are based on a joint work with Julien Chevallier (Grenoble).