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Stable Ergodicity and Julienne Quasi-conformality

Thomas J. Watson IBM Research CenterCharles PughMichael Shub

出版	IBM Thomas J. Watson Research Division, 1997
URL	http://books.google.com.hk/books?id=PaOWHAAACAAJ&hl=&source=gbs_api

註釋

Abstract: "In this paper we eliminate some of the most nettlesome hypotheses of our previous article, 'Stably ergodic dynamical systems and partial hyperbolicity' [22], and expand the domain of stably ergodic, partially hyperbolic dynamical systems to include all partially hyperbolic affine diffeomorphisms of compact homogeneous spaces which have the accessibility property. Our main tool is a new concept -- julienne quasi- conformality of the stable and unstable holonomy maps. An important feature of this is that the holonomy maps preserve all julienne density points."