2 problems

A Tonelli Lagrangian system is considered on $T\mathbb{T}^n$, with its minimizing Mather measure understood as a Borel probability measure on the tangent bundle. A Lagrangian is ca…

Let $L$ be the Tonelli Lagrangian under consideration on a closed manifold $M$, with energy thresholds $e_0(L)$, $c_u(L)$, and $c_0(L)$, and let $H$ be its Hamiltonian. An energy l…