Dynamics Beyond Uniform Hyperbolicity A Global Geometric and Probabilistic Perspective

Author/creator Bonatti, Christian Author
Other author Díaz, Lorenzo J. Author
Other author Viana, Marcelo Author
Format Electronic
Publication InfoNew York : Springer
Descriptionxviii, 384 p. ill 23.500 x 015.500 cm.
Supplemental ContentFull text available from eBooks on EBSCOhost
Subjects

SeriesEncyclopaedia of Mathematical Sciences Ser.
Summary Annotation 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.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
ISBN9783540220664
ISBN3540220666 (Trade Cloth) Active Record
Standard identifier# 9783540220664
Stock number3540220666 00024965

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