137 citations · 271 across the 11 of their papers we have counts for
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math.DS2011★ 1 cited
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…
math.DS2011★ 40 cited
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…