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19952025
most citedEntropy and Variational Principle for one-dimensional Lattice Systems with a general a-priori probability: positive and zero temperature

68 citations · 316 across the 71 of their papers we have counts for

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math.DS2012★ 68 cited

Entropy and Variational Principle for one-dimensional Lattice Systems with a general a-priori probability: positive and zero temperature

Artur O. Lopes, Jairo K. Mengue, Joana Mohr +1

We generalize several results of the classical theory of Thermodynamic Formalism by considering a compact metric space as the state space. We analyze the shift acting on $M^\ma…

math.DS2012

Ergodic Transport Theory and Piecewise Analytic Subactions for Analytic Dynamics

Artur O. Lopes, Elismar R. Oliveira, Daniel Smania

We consider a piecewise analytic real expanding map of degree which preserves orientation, and a real analytic positive potential .…

math.DS2012★ 22 cited

Duality Theorems in Ergodic Transport

Artur O. Lopes, Jairo K. Mengue

We analyze several problems of Optimal Transport Theory in the setting of Ergodic Theory. In a certain class of problems we consider questions in Ergodic Transport which are genera…