68 citations · 316 across the 71 of their papers we have counts for
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Wigner measures and the semi-classical limit to the Aubry-Mather measure
Diogo A. Gomes, Artur O. Lopes, Joana Mohr
In this paper we investigate the asymptotic behavior of the semi-classical limit of Wigner measures defined on the tangent bundle of the one-dimensional torus. In particular we sho…
The Dual Potential, the involution kernel and Transport in Ergodic Optimization
Artur O. Lopes, Elismar R. Oliveira, Philippe Thieullen
Consider the shift acting on the Bernoulli space . We denote . We analyze several properties of the maximizing probabil…
Selection of measure and a Large Deviation Principle for the general XY model
Artur O. Lopes, Jairo Mengue
We consider a connected and compact manifold and we denote by the Bernoulli space . The shift acting on is denoted by . We analyze the general XY…
On the general one-dimensional XY Model: positive and zero temperature, selection and non-selection
A. T. Baraviera, L. M. Cioletti, A. O. Lopes +2
We consider a connected and compact manifold and we denote by the Bernoulli space of sequences represented by $$x=(... x_{-3},x_{-2},x_{-1},x_0,x_1…
A dynamical point of view of Quantum Information: Wigner measures
A. Baraviera, C. F. Lardizabal, A. O. Lopes +1
We analyze a known version of the discrete Wigner function and some connections with Quantum Iterated Funcion Systems. This paper is a follow up of "A dynamical point of view of Qu…