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100301s2009 gw | s |||| 0|eng d |
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|a 9783540875253
|9 978-3-540-87525-3
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|a 10.1007/978-3-540-87525-3
|2 doi
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|a QA313
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| 100 |
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|a Pinto, Alberto A.
|e author.
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|a Fine Structures of Hyperbolic Diffeomorphisms
|c by Alberto A. Pinto, David A. Rand, Flv̀io Ferreira.
|h [electronic resource] /
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| 264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2009.
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| 300 |
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|a XVI, 354p. 77 illus.
|b online resource.
|
| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Springer Monographs in Mathematics,
|x 1439-7382
|
| 505 |
0 |
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|a 1 Introduction -- 2 HR structures -- 3 Solenoid functions -- 4 Self-renomalizable structures -- 5 Rigidity -- 6 Gibbs measures -- 7 Measure scaling functions -- 8 Measure solenoid functions -- 9 Cocycle-gap pairs -- 10 Hausdorff realizations -- 11 Extended Livsic-Sinai eigenvalue formula -- 12 Arc exchange systems and renormalizations -- 13 Golden tiling (in collaboration wtih J.P.Almeida and A.Portela) -- 14 Pseudo-Anosov diffeomorphisms in pseudo-surfaces -- Appendix A: Classifying C1+ structures on the real line -- Appendix B: Classifying C1+ structures on Cantor sets -- Appendix C: Expanding dynamics of the circle -- Appendix D: Markov maps on train tracks -- Appendix E: Explosion of smoothness for Markov families -- References -- Index.
|
| 520 |
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|a The study of hyperbolic systems is a core theme of modern dynamics. On surfaces the theory of the fine 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 scientific works of the leading research workers in this field. This book fills 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.
|
| 650 |
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|a Mathematics.
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| 650 |
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|a Differentiable dynamical systems.
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| 650 |
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|a Differential Equations.
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| 650 |
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|a Differential equations, partial.
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| 650 |
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|a Mathematical physics.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
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|a Dynamical Systems and Ergodic Theory.
|
| 650 |
2 |
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|a Partial Differential Equations.
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| 650 |
2 |
4 |
|a Ordinary Differential Equations.
|
| 650 |
2 |
4 |
|a Mathematical and Computational Physics.
|
| 700 |
1 |
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|a Rand, David A.
|e author.
|
| 700 |
1 |
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|a Ferreira, Flv̀io.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9783540875246
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| 830 |
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|a Springer Monographs in Mathematics,
|x 1439-7382
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| 856 |
4 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-87525-3
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|