Abstract:
We present some results and open problems about stable ergodicity of partially hyperbolic diffeomorphisms with non-zero Lyapunov exponents. The main tool is local ergodicity theory for non-uniformly hyperbolic systems.
This article is available in the following formats:
Authors' addresses: Keith Burns Department of Mathematics Northwestern University Evanston, IL 60208-2730 burns followed by math.northwestern.edu Dmitry Dolgopyat Department of Mathematics Pennsylvania State University University Park, PA 16802 dolgop followed by math.psu.edu Yakov Pesin Department of Mathematics Pennsylvania State University University Park, PA 16802 pesin followed by math.psu.edu