CMAFcIO

Rigid local systems

An Informal Workshop on Differential Equations and Algebraic Geometry (January 28th - February 1st 2019).

First talk is an introductory talk by N. Katz.

The program is decided every day. This is an interactive workshop.

Nicholas Katz, Princeton
Antonio Rojas, Sevilla
Francisco Calderon, Sevilla
Herwig Hauser, Viena
Luis Narvaez, Sevilla
Orlando Neto, Lisboa
Pedro C. Silva, Lisboa

Some fixed points for a dynamical system on a probability space

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.

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