Centro de Matemática da Universidade do Porto 

*** Zoominar in Dynamical Systems ***

Date. May 15, 14h00m (local time)

Speaker. Artur Oscar Lopes (Universidade Federal do Rio Grande do Sul)

Title. Ergodic transport

Abstract.

The classical Transport Theory (discrete time) is -  basically - not a dynamical theory. We will present several recent results where there is an interplay between  Ergodic Theory and Transport Theory. We will begin by recalling some basic classical results like Kantorovich duality and the slackness condition, and then we will state results in the so called Ergodic Transport Theory.  For instance, we can ask: given a probability which is not invariant, how to characterize the invariant probability which is more close to this one under the Wasserstein metric?  Another result claims that the dual of the Ruelle operator of a Holder potential is a contraction under the 1-Wasserstein metric when acting on the set of probabilities. One can also consider Thermodynamic Formalism for Gibbs plans.

Online Zoom meeting (Session will open some minutes before 14h00)
https://videoconf-colibri.zoom.us/j/94109674643?pwd=cmVqc0V3VnFSMVJGWFM0TGRVZ29PQT09

Meeting ID: 941 0967 4643
Password: 633060