Transport and large deviations for Schrodinger operators and Mather measures

Artur O. Lopes, P. Thieullen

In this mainly survey paper we consider the Lagrangian $L(x,v)=\frac{1}{2}|v{|}^2-V(x)$, and a closed form $w$ on the torus ${\mathbb{T}}^n$. For the associated Hamiltonian…