Student Probability/PDE Seminar: Homogenization for Periodic and Random Hamiltonian ODEs

Seminar | March 24 | 2:10-3:30 p.m. | 891 Evans Hall

 Fraydoun Rezakhanlou, UC Berkeley

 Department of Mathematics

Consider an oscillatory Hamiltonian function of the form $H_n(q,p)=H(nq,p)$, where $H$ is either periodic or statistically translation invariant in the position variable. Viterbo defines a metric on the space of Hamiltonian functions that allows the convergence of $H_n$ as $n$ gets large. I give a review of Viterbo's result and formulate two related conjectures.