|
|||||
|
|
Diffeomorphisms with positive metric entropy |
|
| Authors: | A Avila S Crovisier A Wilkinson |
| Institution: | 1.CNRS, IMJ-PRG, UMR 7586, Univ. Paris Diderot, Sorbonne Paris Cité, Sorbonne Universités,UPMC Univ. Paris 06,Paris,France;2.IMPA,Estrada Dona Castorina 110,Rio de Janeiro,Brazil;3.CNRS, Laboratoire de Mathématiques d’Orsay, UMR 8628,Université Paris-Sud 11,Orsay Cedex,France;4.Department of Mathematics,University of Chicago,Chicago,USA |
| Abstract: | We obtain a dichotomy for \(C^{1}\)-generic, volume-preserving diffeomorphisms: either all the Lyapunov exponents of almost every point vanish or the volume is ergodic and non-uniformly Anosov (i.e. nonuniformly hyperbolic and the splitting into stable and unstable spaces is dominated). This completes a program first put forth by Ricardo Mañé. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |