Author : F. Thomas Farrell
Release : 1993
Genre : Mathematics
Kind : eBook
Book Rating : 534/5 ( reviews)
Book Synopsis Markov Cell Structures near a Hyperbolic Set by : F. Thomas Farrell
Download or read book Markov Cell Structures near a Hyperbolic Set written by F. Thomas Farrell. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt: The authors' argument is a spiritual descendent of earlier work of Adler and Weiss, Sinaĭ, and Bowen, and involves a close study of triangulations. The discussion is long and technical, but the outline of the proof is sketched clearly in Section 1 for the special case of [italic]F an expanding immersion. A concluding section lists problems on hyperbolic sets, Markov partitions, and related matters; remarks on topological invariants, including the conjectured vanishing of Pontryagin classes for manifolds supporting Anosov diffeomorphisms, may be of particular interest.