Dynamics of Circle Mappings
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...
Gorde:
| Egile Nagusiak: | , |
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| Erakunde egilea: | |
| Formatua: | Baliabide elektronikoa eBook |
| Hizkuntza: | ingelesa |
| Argitaratua: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Edizioa: | 2nd ed. 2024. |
| Saila: | IMPA Monographs
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| Gaiak: | |
| Sarrera elektronikoa: | https://doi.org/10.1007/978-3-031-67495-2 |
| Etiketak: |
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Aurkibidea:
- 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.