Por Leonid Bunimovich (Georgia Tech).

Por Alexandre T. Baraviera (IME-Universidade Federal do Rio Grande do Sul).

In this talk we revisit a model introduced by Marchetti and Perez in order to understand in a rigorous way a renormalization group approach for the Coulumb gas on the lattice; the model  corresponds to a map (depending on a parameter \beta)  on the probabilities defined on the integers. Our goal is to provide another approach for the existence of  non trivial fixed  points of this map when the parameter \beta is smaller than a certain critical value.

Por Benito Pires (Universidade de São Paulo).

Por Bernardo San Martin (Universidad Católica del Norte).

Por Muhammad Ali Khan (FCUP).

Por Alexandre Baraviera (Instituto de Matemática e Estatística - Universidade Federal do Rio Grande do Sul).

Mauricio Poletti
Université Paris 13

Por Rui Alberto Pimenta Rodrigues (Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa).

Abstract: (Deep) Neural networks seem to be achieving the targets drawn for Artificial Intelligence in the early 60's. We will present the practical accomplishments. The underlying mathematical models will be discussed:

Paolo Gidoni
CMAF-CIO, Universidade de Lisboa

Alexandre Tavares Baraviera
Universidade Federal do Rio Grande do Sul

Abstract: In this talk I will discuss some dynamical and measure-theoretic properties of a class of maps on the symbolic space that transforms blocks into symbols. As examples we can consider, among others, the decimation map and the map generated by the majority rule.