Abstract: I will discuss some dynamical properties of mildly dissipative diffeomorphisms of the plane, which includes Hénon maps with jacobian smaller than 1/4. Some years ago we proved with Enrique Pujals a closing lemma: the support of any invariant measure is contained in the closure of the set of periodic points. I will present a stronger version of this closing lemma and state some consequences. In particular any ergodic measure is supported on a periodic orbit, on an homoclinic class or on an odometer. (Collaboration with E. Pujals)
Zoom Meeting ID: 850 3302 8146
Passcode: 331058
