Existence of maximizing measures for non-compact transitive Markov shifts

Supervisor
Dr. Ricardo dos Santos Freire - Universidade de Sao Paulo, Brasile.
Date and time
Monday, January 30, 2012 at 4:45 PM - 16:45 rinfresco; 17:00 inizio seminario.
Place
Ca' Vignal - Piramide, Floor 0, Hall Verde
Programme Director
Gaetano Zampieri
External reference
Publication date
January 23, 2012
Department
Computer Science  

Summary

We present the problem of Ergodic Optimization for the shift on
the sequences of naturals (positive integers) with a irreducible transition
matrix, that is, such that the dynamics is transitive. With some uniformity
on the potential, we're able to give a simple and dynamical proof of the
existence of a maximizing measure on this context.






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