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math.DS2006
On calibrated and separating sub-actions
Eduardo Garibaldi, Artur O. Lopes, Philippe Thieullen
Consider a transitive expanding dynamical system , and a Hölder potential . In ergodic optimization, one is interested in properties of -maximizing probabilitie…
math.DS2006
Functions for relative maximization
Eduardo Garibaldi, Artur O. Lopes
We introduce functions for relative maximization in a general context: the beta and alpha applications. After a systematic study concerning regularities, we investigate how to appr…
math.DS2006★ 1 cited
On the Aubry-Mather theory for symbolic dynamics
Eduardo Garibaldi, Artur O. Lopes
We propose a new model of ergodic optimization for expansive dynamical systems: the holonomic setting. In fact, we introduce an extension of the standard model used in this theory.…