Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
For this printing of R. Bowen's book, J.-R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details. From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition... H
- PDF / 314,446 Bytes
- 9 Pages / 595.276 x 841.89 pts (A4) Page_size
- 27 Downloads / 210 Views
470
Rufus Bowen
Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms Second revised edition Jean-René Chazottes Editor
Preface by David Ruelle
ABC
Author Robert Edward (Rufus) Bowen (1947-1978) University of California at Berkeley USA
Preface by David Ruelle
Editor Jean-René Chazottes Centre de Physique Théorique CNRS-École Polytechnique 91128 Palaiseau Cedex France [email protected]
IHÉS 35, Route de Chartres 91440 Bures-sur-Yvette France [email protected]
ISBN: 978-3-540-77605-5 e-ISBN: 978-3-540-77695-6 DOI: 10.1007/978-3-540-77695-6 Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress Control Number: 2008922889 Mathematics Subject Classification (2000): Primary: 37D20, Secondary: 37D35 c 2008, 1975 Springer-Verlag Berlin Heidelberg ° This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: WMXDesign GmbH
Printed on acid-free paper 987654321 springer.com
Preface
The Greek and Roman gods, supposedly, resented those mortals endowed with superlative gifts and happiness, and punished them. The life and achievements of Rufus Bowen (1947–1978) remind us of this belief of the ancients. When Rufus died unexpectedly, at age thirty-one, from brain hemorrhage, he was a very happy and successful man. He had great charm, that he did not misuse, and superlative mathematical talent. His mathematical legacy is important, and will not be forgotten, but one wonders what he would have achieved if he had lived longer. Bowen chose to be simple rather than brilliant. This was the hard choice, especially in a messy subject like smooth dynamics in which he worked. Simplicity had also been the style of Steve Smale, from whom Bowen learned dynamical systems theory. Rufus Bowen has left us a masterpiece of mathematical exposition: the slim volume Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms (Springer Lecture Notes in Mathematics 470 (1975)). Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen’s monograph immediately became a classic. More than thirty years later, many new results have been proved in this area, but the volume is as useful as ever because it remains the
Data Loading...
