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Dynamics Beyond Uniform Hyperbolicity by Christian Bonatti & Lorenzo Diaz & Marcelo Viana
A Global Geometric and Probabilistic Perspective
The notion of uniform hyperbolicity, introduced by Steve Smale in the early sixties, unified important developments and led to a remarkably successful theory for a large class of systems: uniformly hyperbolic systems often exhibit complicated evolution which, nevertheless, is now rather well understood, both geometrically and statistically.Another revolution has been taking place in the last couple of decades, as one tries to build a global theory for "most" dynamical systems, recovering as much as possible of the conclusions of the uniformly hyperbolic case, in great generality. This book aims to put such recent developments in a unified perspective, and to point out open problems and likely directions for further progress. It is aimed at researchers, both young and senior, willing to get a quick, yet broad, view of this part of dynamics. Main ideas, methods, and results are discussed, at variable degrees of depth, with references to the original works for details and complementary information. |
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| Author(s) : | Format : Hardback Book |
| ISBN-10 : 3540220666 | ISBN-13 : 9783540220664 |
| RRP : £73.00 | Best available price : £ / $ |
| Prices as of : BST check live prices | |
Product Details:
Series Title : Encyclopaedia of Mathematical Sciences
Country Publication : Germany
Publication Date : 01/09/2004
Publisher : Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Page Length : XVIII, 384mm