## DYNAMICAL SYSTEMS Seminar

### How to prove that hyperbolic systems are ergodic: the Hopf argument

Gianluigi Del Magno
(CEMAPRE-ISEG)

Abstract: The so called Hopf argument was devised by E. Hopf to prove the ergodicity of the geodesic flow on a compact surface of constant negative curvature. In this talk, I will explain this argument applying it to two simple hyperbolic systems: the cat's map and a piecewise smooth map of the torus.

Wednesday, March 17, 2010
Time: 14h30
Room: B1-01, Complexo Interdisciplinar, UL
http://cemapre.iseg.ulisboa.pt/seminars/dynsys/