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One-dimensional dynamics = from Poin...
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Dong, Yiheng.
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One-dimensional dynamics = from Poincaré to renormalization /
Record Type:
Electronic resources : Monograph/item
Title/Author:
One-dimensional dynamics/ by Yiheng Dong, Marco Martens, Liviana Palmisano.
Reminder of title:
from Poincaré to renormalization /
Author:
Dong, Yiheng.
other author:
Martens, Marco.
Published:
Cham :Springer Nature Switzerland : : 2025.,
Description:
x, 181 p. :ill., digital ;24 cm.
[NT 15003449]:
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
Subject:
Dynamics. -
Online resource:
https://doi.org/10.1007/978-3-031-94882-4
ISBN:
9783031948824
One-dimensional dynamics = from Poincaré to renormalization /
Dong, Yiheng.
One-dimensional dynamics
from 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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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.
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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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Mathematics and Statistics (SpringerNature-11649)
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