Large deviations and Aubry-Mather measures supported in nonhyperbolic closed geodesics

Artur O. Lopes, Rafael O. Ruggiero

We obtain a large deviation function for the stationary measures of twisted Brownian motions associated to the Lagrangians $L_{\lambda }(p,v)=\frac{1}{2}{g}_p(v,v)-\lambda {\omega }_p(v)$, where $g$ is…