Overview

The study of hyperbolic systems is a core theme of modern dynamics. On surfaces the theory of the fine scale structure of hyperbolic invariant sets and their measures can be described in a very complete and elegant way, and is the subject of this book. The present book, written by well-known experts in smooth dynamical systems and ergodic theory, provides a largely self-contained, rigorous description of this theory. It covers the most important aspects of the subject and is based on several scientific works of the leading research workers in this field. This book fills a gap in the literature of dynamics and is highly recommended for any PhD students interested in this area.

Full Product Details

9783540875246

Table of Contents

Reviews

From the reviews: The book is a mostly self contained text on the theory of the fine scale structures of hyperbolic diffeomorphisms on surfaces. It is aimed at researchers and Ph. D students interested in the topic. Most of the text is based on the research work of the authors but it also contains related topics and background material. It is clearly written and very well structured. (Isabel Lugao Rios, Mathematical Reviews, Issue 2010 e)

Author Information

Alberto Pinto Awards& Honours: 2008 Recognition of the scientific merit of the works done in Psychology Sciences by the Psychology School of University of Minho 2007 Espinho Town hall Golden Medal by scientific merit 1984Prize Augusto Martins, University of Porto. 1981 One of the six winners of the Mini-Olympics of Mathematics in Portugal. David Rand Awards& Honours 1986 Whitehead Prize of the London Mathematical Society. 1988 Wolfson Research Award. 1988 Founding editor of Nonlinearity 2004 Fellow, Institute of Mathematics and Its Applications (by invitation) 2005 Britten Lecturer. McMaster University 2006 EPSRC Senior Research Fellowship

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