Fine Structures of Hyperbolic Diffeomorphisms
Pinto, Alberto A.
Fine Structures of Hyperbolic Diffeomorphisms [electronic resource] / by Alberto A. Pinto, David A. Rand, Flávio Ferreira. - XVI, 354 p. 77 illus. online resource. - Springer Monographs in Mathematics, 1439-7382 . - Springer Monographs in Mathematics, .
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.
9783540875253
10.1007/978-3-540-87525-3 doi
Mathematics.
Dynamics.
Ergodic theory.
Differential equations.
Partial differential equations.
Physics.
Mathematics.
Dynamical Systems and Ergodic Theory.
Partial Differential Equations.
Ordinary Differential Equations.
Theoretical, Mathematical and Computational Physics.
QA313
515.39 515.48
Fine Structures of Hyperbolic Diffeomorphisms [electronic resource] / by Alberto A. Pinto, David A. Rand, Flávio Ferreira. - XVI, 354 p. 77 illus. online resource. - Springer Monographs in Mathematics, 1439-7382 . - Springer Monographs in Mathematics, .
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.
9783540875253
10.1007/978-3-540-87525-3 doi
Mathematics.
Dynamics.
Ergodic theory.
Differential equations.
Partial differential equations.
Physics.
Mathematics.
Dynamical Systems and Ergodic Theory.
Partial Differential Equations.
Ordinary Differential Equations.
Theoretical, Mathematical and Computational Physics.
QA313
515.39 515.48