68 citations · 316 across the 71 of their papers we have counts for
4 papers · 1 filter
The effective potential and transshipment in thermodynamic formalism at temperature zero
Artur O. Lopes, Eduardo Garibaldi
Denote the points in {1,2,..,r}^{Z}= {1,2,..,r}^{N} x {1,2,..,r}^{N} by ({y}^*, {x}). Given a Lipschitz continuous observable A: {1,2,..,r}^{Z} \to {R} , we define the map {G}^+: {…
Large deviations and Aubry-Mather measures supported in nonhyperbolic closed geodesics
Artur O. Lopes, Rafael O. Ruggiero
We obtain a large deviation function for the stationary measures of twisted Brownian motions associated to the Lagrangians , where is…
Selection of measures for a potential with two maxima at the zero temperature limit
Alexandre T. Baraviera, Renaud Leplaideur, Artur O. Lopes
For the subshift of finite type we study the convergence at temperature zero of the Gibbs measure associated to a non-locally constant Hölder potential which adm…
Zeta measures and Thermodynamic Formalism for temperature zero
Artur O. Lopes, Jairo K. Mengue
We address the analysis of the following problem: given a real Hölder potential defined on the Bernoulli space and its equilibrium state, it is known that this shift-inva…