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One-dimensional dynamics = from Poin...

Dong, Yiheng.

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One-dimensional dynamics = from Poincaré to renormalization /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	One-dimensional dynamics/ by Yiheng Dong, Marco Martens, Liviana Palmisano.
其他題名:	from Poincaré to renormalization /
作者:	Dong, Yiheng.
其他作者:	Martens, Marco.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	x, 181 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Dynamics. -
電子資源:	https://doi.org/10.1007/978-3-031-94882-4
ISBN:	9783031948824

One-dimensional dynamics = from Poincaré to renormalization /
Dong, Yiheng.

One-dimensional dynamicsfrom Poincaré to renormalization /[electronic resource] :by Yiheng Dong, Marco Martens, Liviana Palmisano. - Cham :Springer Nature Switzerland :2025. - x, 181 p. :ill., digital ;24 cm. - Lecture notes of the Unione Matematica Italiana,v. 301862-9121 ;. - Lecture notes of the Unione Matematica Italiana ;v. 30..

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.

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 most of the important concepts used in dynamics. The one-dimensional context of the Herman Theorem reduces the technical diﬃculties and allows to present tools and theories to students with modest background. The book can definitely be used on Master's level.

ISBN: 9783031948824

Standard No.: 10.1007/978-3-031-94882-4doiSubjects--Topical Terms:

519830
Dynamics.

LC Class. No.: QA845

Dewey Class. No.: 515.39

One-dimensional dynamics = from Poincaré to renormalization /
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505 0 $a 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.
520 $a 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 most of the important concepts used in dynamics. The one-dimensional context of the Herman Theorem reduces the technical diﬃculties and allows to present tools and theories to students with modest background. The book can definitely be used on Master's level.
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