Entropy, pressure and variational principle of semi-group actions

Andrzej BIS
University of Lodz, Poland

Date(s) : 01/10/2021   iCal
11 h 00 min - 12 h 30 min

The Krilov-Bogoliubov Theorem says that for continuous map $f:X \to X,$ of a compact metric space $X,$ there exists an $f-$invariant Borel probability measure. This result is essential in stating the variational principle for a single map.
There is no counterpart of the Krilov-Bogoliubov Theorem for a finitely generated semi-group of continuous maps. During the talk I will provide some estimation of topological entropy (in sense of Ghys, Langevin and Walczak) of a finitely generated semi-group action. Also, I will present a recent joint result with M. Carvalho, M. Mendes and P. Varandas on a general variational principle related to a pressure function.

ID de réunion : 951 9780 1409
Code secret : see mail


FRUMAM, St Charles (3ème étage)


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