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 $(M,d)$ a connected and compact manifold and we denote by ${\mathcal{B}}_i$ the Bernoulli space $M^{\mathbb{Z}}$ of sequences represented by $$x=(... x_{-3},x_{-2},x_{-1},x_0,x_1…