On December 3rd, 2009, M.A. Rodriguez-Hertz presented at the seminar of “Topologie et dynamique” at Orsay a new result extending to three dimensional manifolds the well-known theorem announced by Mañé and proved by Bochi in 2002: Theorem (M.A. Rodriguez-Hertz). Consider the space of all C^1 diffeomorphism preserving the volume on a three-dimensional compact manifold. Then [...]
Posts Tagged ‘stable ergodicity’
A dichotomy for volume-preserving diffeomorphisms in dimension 3
Posted in Dynamics, talks, tagged 3-dimensional diffeomorphisms, dichotomy, ergodicity, Lyapunov exponents, smooth ergodic theory, stable ergodicity on December 6, 2009 | Leave a Comment »
Ergodicity of partially hyperbolic symplectomorphisms
Posted in Dynamics, Meetings, talks, tagged Dynamics, ergodic theory, generic dynamics, partial hyperbolicity, smooth dynamics, stable ergodicity on November 27, 2009 | Leave a Comment »
Amie WILKINSON presented new results towards the Pugh-Shub Stable ergodicity conjecture. In particular, with A. AVILA and J. BOCHI, she proved that ergodicity is generic in C^1 partially hyperbolic symplectomorphisms. She noted that, by a result of SAGHIN and Z. XIA, a stably ergodic symplectomorphism is automatically partially hyperbolic (which fails for conservative diffeomorphisms by [...]
Stable ergodicity and partial hyperbolicity
Posted in Dynamics, talks, tagged Dynamics, partial hyperbolicity, smooth ergodic theory, stable ergodicity on July 6, 2009 | Leave a Comment »
Ya. Pesin gave a talk (Chevaleret, June 19, 2009) summarizing the work on Push-Shub Stable Ergodicity Conjecture and presenting some new results of his in the non-conservative case. This conjecture states that there is a -dense and open set of ergodic diffeomorphisms among those which are partially hyperbolic and volume preserving. Note the tension between [...]
