Dynamics of Circle Mappings
Series: IMPA Monographs;
- Publisher's listprice EUR 80.24
- Prospero’s price EUR 56.24
-
21 967 Ft (20 921 Ft + 5% VAT)
The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.
- Discount 20% (cc. 4 393 Ft off)
- Discounted price 17 574 Ft (16 737 Ft + 5% VAT)
- Discount is valid until: 30 June 2026
Subcribe now and take benefit of a favourable price.
Subscribe
19 331 Ft
Availability
printed on demand
Why don't you give exact delivery time?
Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.
Product details:
- Edition number 2
- Publisher Editora do IMPA
- Date of Publication 17 October 2024
- Number of Volumes 1 pieces, Book
- ISBN 9783031674945
- Binding Hardback
- No. of pages458 pages
- Size 235x155 mm
- Language English
- Illustrations XVIII, 458 p. 47 illus. Illustrations, black & white 538
Categories
Long description:
This book explores recent developments in the dynamics of invertible circle maps, a rich and captivating topic in one-dimensional dynamics. It focuses on two main classes of invertible dynamical systems on the circle: global diffeomorphisms and smooth homeomorphisms with critical points. The latter is the book's core, reflecting the authors' recent research interests.
Organized into four parts and 14 chapters, the content covers rigid rotations, circle homeomorphisms, and the concept of rotation number in the first part. The second part delves into circle diffeomorphisms, presenting classical results. The third part introduces multicritical circle maps?smooth homeomorphisms of the circle with a finite number of critical points. The fourth and final part centers on renormalization theory, analyzing the fine geometric structure of orbits of multicritical circle maps. Complete proofs for several fundamental results in circle dynamics are provided throughout. The book concludes with a list of open questions.
Primarily intended for graduate students and young researchers in dynamical systems, this book is also suitable for mathematicians from other fields with an interest in the subject. Prerequisites include familiarity with the content of a standard graduate course in real analysis, along with some understanding of ergodic theory and dynamical systems. Basic knowledge of complex analysis is needed for specific chapters.
MoreTable of Contents:
Preface.- Part I - Basic Theory: 1 Rotations.- 2 Homeomorphisms of the Circle.- Part II - Diffeomorphisms: 3 Diffeomorphisms: Denjoy Theory.- 4 Smooth Conjugacies to Rotations.- Part III - Multicritical Circle Maps.- 5 Cross-ratios and Distortion Tools.- 6 Topological Classification and the Real Bounds.- 7 Quasisymmetric Rigidity.- 8 Ergodic Aspects.- 9 Orbit Flexibility.- Part IV - Renormalization Theory: 10 Smooth Rigidity and Renormalization..- 11 Quasiconformal Deformations.- 12 Lipschitz Estimates for Renormalization.- 13 Exponential Convergence: the Smooth Case.- 14 Renormalization: Holomorphic Methods.- Epilogue.- Appendices.- Bibliography.
More
