Strict sub-solutions and Mañé potential in discrete weak KAM theory
Strict sub-solutions and Mañé potential in discrete weak KAM theory
In this paper, we explain some facts on the discrete case of weak KAM theory. In that setting, the Lagrangian is replaced by a cost $c:X\times X \to \mathbb{R}$, on a "reasonable" space $X$. This covers for example the case of periodic time-dependent Lagrangians. As is well known, it is …