A Closing Lemma for Hénon maps of R2.
报告人：Sylvain Crovisier (Université Paris-Saclay, France)
时间：2026-05-28 20:00-21:00 (Beijing Time)
地点：Online (Zoom)
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
