Fine Structures of Hyperbolic DiffeomorphismsSpringer Science & Business Media, 30/09/2008 - 354 páginas The study of hyperbolic systems is one of the core themes of modern dynamical systems. This book plays an important role in filling a gap in the present literature on hyperbolic dynamics and is highly recommended for all PhD students interested in this field. |
Índice
| 1 | |
HR structures | 21 |
Solenoid functions | 37 |
Selfrenormalizable structures | 45 |
Rigidity | 54 |
Gibbs measures | 73 |
Measure scaling functions | 85 |
Measure solenoid functions | 93 |
Arc exchange systems and renormalization | 142 |
Golden tilings in collaboration with JP Almeida and A Portela | 161 |
PseudoAnosov diffeomorphisms in pseudosurfaces | 183 |
Classifying C1+ structures on the real line | 200 |
Classifying C1+ structures on Cantor sets | 235 |
Expanding dynamics of the circle | 261 |
Markov maps on traintracks | 278 |
Explosion of smoothness for Markov families | 313 |
Cocyclegap pairs | 107 |
Hausdorff realizations | 119 |
Extended LivšicSinai eigenvalue formula | 135 |
References | 335 |
| 347 | |
Outras edições - Ver tudo
Fine Structures of Hyperbolic Diffeomorphisms Alberto Adrego Pinto,David A. J. Rand,Flávio Ferreira Pré-visualização indisponível - 2010 |
Fine Structures of Hyperbolic Diffeomorphisms Alberto Adrego Pinto,David A. Rand,Flávio Ferreira Pré-visualização indisponível - 2008 |
Palavras e frases frequentes
absolutely continuous An)nez Anosov diffeomorphisms arc exchange system atlas basic holonomy C¹+a C¹+H Cantor set circle map conjugacy classes conjugate contained converges cross-ratio cylinder structure d-adic defined Definition denote endpoints expanding circle map F and G fixed point following properties Gibbs measure grid intervals Hausdorff Hence Hölder continuous holonomies homeomorphism HR structure hyperbolic diffeomorphisms inequality invariant Lemma Let us prove Lipschitz lrd(n map F Markov family Markov map Markov partition Markov rectangle matching condition measure ratio function metric Msol n-gap obtain overlap maps pair Pinto and Rand primary cylinder Proof pseudo-Anosov pseudo-Anosov maps real line renormalization respect Riemannian metric satisfies scaling function self-renormalizable structure sequence solenoid equivalence solenoid function stable and unstable structure of F tends to infinity Theorem topologically conjugate turntable unstable leaf segments well-defined
Referências a este livro
Fine Structures of Hyperbolic Diffeomorphisms Alberto Adrego Pinto,David A. Rand,Flávio Ferreira Pré-visualização limitada - 2008 |