Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective - Couverture rigide

Livre 39 sur 47: Encyclopaedia of Mathematical Sciences

Bonatti, Christian

 
9783540220664: Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective
Couverture rigide
ISBN 10 : 3540220666 ISBN 13 : 9783540220664
Editeur : Springer, 2004

Synopsis

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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Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2004
Langue
anglais
ISBN 10 
3540220666
ISBN 13 
9783540220664
Reliure
Relié
Nombre de pages
408
Coordonnées du fabricant
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Autres éditions populaires du même titre

9783642060410: Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective

Edition présentée

ISBN 10 :  3642060412 ISBN 13 :  9783642060410
Editeur : Springer, 2010
Couverture souple