Fine Structures of Hyperbolic Diffeomorphisms

Language: English

Published by Springer, Springer Vieweg Okt 2008, 2008

3540875247 / 9783540875246

Series: Book 53 of 187 - Springer Monographs in Mathematics

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This item is printed on demand - Print on Demand Titel. Neuware -The study of hyperbolic systems is a core theme of modern dynamics. On surfaces the theory of the ne 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, largely self-contained, rigorously and clearly written. It covers the most important aspects of the subject and is based on several scienti c works of the leading research workers in this eld. This book lls a gap in the literature of dynamics. We highly recommend it for any Ph.D student interested in this area. The authors are well-known experts in smooth dynamical systems and ergodic theory. Now we give a more detailed description of the contents: Chapter1.TheIntroductionisadescriptionofthemainconceptsinhyp- bolic dynamics that are used throughout the book. These are due to Bowen, Hirsch, Man¿ ¿e, Palis, Pugh, Ruelle, Shub, Sinai, Smale and others. Stable and r unstable manifolds are shown to beC foliated. This result is very useful in a number of contexts. The existence of smooth orthogonal charts is also proved. This chapter includes proofs of extensions to hyperbolic di eomorphisms of some results of Man¿ ¿e for Anosov maps. Chapter 2. All the smooth conjugacy classes of a given topological model are classi ed using Pintös and Rand¿s HR structures. The a ne structures of Ghys and Sullivan on stable and unstable leaves of Anosov di eomorphisms are generalized.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 372 pp. Englisch.…

Seller Inventory # 9783540875246

Title
Fine Structures of Hyperbolic Diffeomorphisms
Author
Alberto Adrego Pinto
Publisher
Springer, Springer Vieweg Okt 2008
Publication year
2008
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3540875247
ISBN 13
9783540875246
Item weight
723 grams
Dimensions
241x160x25 mm
Series
Book 53 of 187: Springer Monographs in Mathematics

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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