Miriam Lorenzo Laguno (Georgia Institute of Technology) : Mixing properties of locally Hamiltonian flows on surfaces

Séminaire « Géométrie dynamique »
Salle de Visio M3

I will introduce locally Hamiltonian flows on surfaces and discuss their representation as suspension flows over suitable Poincaré sections. I will review classical and recent results on the ergodic and mixing behavior of these flows, and present recent results on rates of mixing for a subclass of them.