Student Probability/PDE Seminar: One Direction for Nonconvex Aubry-Mather Theory

Seminar | November 2 | 2:10-3:30 p.m. | 891 Evans Hall

 Hong Suh, UC Berkeley

 Department of Mathematics

Aubry-Mather theory is focused on a special family of invariant measures of Hamiltonian dynamics, for Hamiltonians which are convex in the momentum variable. The development of the theory requires the Lagrangian viewpoint. Therefore it is difficult to extend the results to the nonconvex case. We review the classical setting and study one possible direction for nonconvex Aubry-Mather theory, put forward by Cagnetti-Gomes-Tran.