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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 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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100 1 $a Dong, Yiheng. $3 3791059
245 1 0 $a One-dimensional dynamics $h [electronic resource] : $b from Poincaré to renormalization / $c by Yiheng Dong, Marco Martens, Liviana Palmisano.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a x, 181 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes of the Unione Matematica Italiana, $x 1862-9121 ; $v v. 30
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.
650 0 $a Dynamics. $3 519830
650 1 4 $a Topology. $3 522026
700 1 $a Martens, Marco. $3 3791060
700 1 $a Palmisano, Liviana. $3 3791061
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes of the Unione Matematica Italiana ; $v v. 30. $3 3791062
856 4 0 $u https://doi.org/10.1007/978-3-031-94882-4
950 $a Mathematics and Statistics (SpringerNature-11649)