國立高雄大學圖資館 |

登入

回首頁

One-dimensional dynamicsfrom Poincaré to renormalization /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	One-dimensional dynamicsby 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.
Contained By:	Springer Nature eBook
標題:	Dynamics.
電子資源:	https://doi.org/10.1007/978-3-031-94882-4
ISBN:	9783031948824$q(electronic bk.)

One-dimensional dynamicsfrom 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 ;15..

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$q(electronic bk.)

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

189568
Dynamics.

LC Class. No.: QA845

Dewey Class. No.: 515.39

One-dimensional dynamicsfrom Poincaré to renormalization /
LDR:02091nmm a2200337 a 4500 001 686063
003 DE-He213
005 20250901130504.0
006 m d
007 cr nn 008maaau
008 260209s2025 sz s 0 eng d
020 $a 9783031948824$q(electronic bk.)
020 $a 9783031948817$q(paper)
024 7 $a 10.1007/978-3-031-94882-4 $2 doi
035 $a 978-3-031-94882-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA845
072 7 $a PBP $2 bicssc
072 7 $a MAT038000 $2 bisacsh
072 7 $a PBP $2 thema
082 0 4 $a 515.39 $2 23
090 $a QA845 $b .D682 2025
100 1 $a Dong, Yiheng. $3 1000179
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 189568
650 1 4 $a Topology. $3 185965
700 1 $a Martens, Marco. $3 1000180
700 1 $a Palmisano, Liviana. $3 1000181
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Lecture notes of the Unione Matematica Italiana ; $v 15. $3 701769
856 4 0 $u https://doi.org/10.1007/978-3-031-94882-4
950 $a Mathematics and Statistics (SpringerNature-11649)