## Product Type Dynamical Systems: variational principle

janeiro 16, 2012
(English Below)

Este é um resumo do seminário que vou apresentar dia 26 de janeiro de 2012 no Imperial College London.

This is the abstract of a seminar I am about to present on 26 January of 2012 at the Imperial College London DynamIC Seminars. The slides will be upload to this page as soon as they are available.

Inspired by the Kolmogorov-Sinai entropy (KS-entropy) for a measure-preserving dynamical system, Adler, Konheim and McAndrew developed a purely topological concept of entropy (AKM-entropy) for topological dynamical systems over compact phase spaces. The AKM-entropy relates to the KS-entropy trough the so called Variational Principle: $h(T) = \sup_\mu h_\mu(T),$ where $h(T)$ is the AKM-entropy and $h_\mu(T)$ is the KS-entropy for the dynamical system $T$. The supremum is taken over all possible Borel measures.