One-Dimensional Dynamics From Poincaré to renormalization /
The aim of the book is to give an introduction to the main concepts in modern dynamics. The Herman Theorem on rigidity of circle diffeomoprhisms is used to achieve this goal. Indeed, we reprove this sophisticated theorem with modern techniques involving renormalization and, in the meantime, discuss m...
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| Автори: | , , |
|---|---|
| Співавтор: | |
| Формат: | Електронний ресурс eКнига |
| Мова: | Англійська |
| Опубліковано: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Редагування: | 1st ed. 2025. |
| Серія: | Lecture Notes of the Unione Matematica Italiana,
30 |
| Предмети: | |
| Онлайн доступ: | https://doi.org/10.1007/978-3-031-94882-4 |
| Теги: |
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Зміст:
- Chapter 1. Introduction
- Chapter 2. Topology of Circle Homeomorphisms
- Chapter 3. Topology of Circle Diffeomorphisms
- Chapter 4. Renormalization
- Chapter 5. The Three Ingredients for Convergence of Renormalization
- Chapter 6. The Collaboration of the Three Ingredients
- Chapter 7. Exponential Convergence
- Chapter 8. Geometry of Circle Diffeomorphisms
- Chapter 9. Non-Rigidity
- Chapter 10. The Renormalization Horseshoe.