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＜E-Book＞
Fine Structures of Hyperbolic Diffeomorphisms / by Alberto Adrego Pinto, David A. Rand, Flávio Ferreira
(Springer Monographs in Mathematics. ISSN:21969922)

Edition	1st ed. 2009.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2009
Language	English
Size	XVI, 354 p. 77 illus : online resource
Authors	*Pinto, Alberto Adrego author Rand, David A author Ferreira, Flávio author SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:Differential equations LCSH:Mathematical physics FREE:Dynamical Systems FREE:Differential Equations FREE:Theoretical, Mathematical and Computational Physics
Notes	HR structures -- Solenoid functions -- Self-renormalizable structures -- Rigidity -- Gibbs measures -- Measure scaling functions -- Measure solenoid functions -- Cocycle-gap pairs -- Hausdorff realizations -- Extended Livšic-Sinai eigenvalue formula -- Arc exchange systems and renormalization -- Golden tilings (in collaboration with J.P. Almeida and A. Portela) -- Pseudo-Anosov diffeomorphisms in pseudo-surfaces 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 HTTP:URL=https://doi.org/10.1007/978-3-540-87525-3

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