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Renormalization and Geometry in One-Dimensional and Complex Dynamics

Yunping Jiang
4.9/5 (33016 ratings)
Read Now Download Now ⏭ listen AudioBook
Description:About one and a half decades ago, Feigenbaum observed that bifurcations, from simple dynamics to complicated ones, in a family of folding mappings like quadratic polynomials follow a universal rule (Coullet and Tresser did some similar observation independently). This observation opened a new way to understanding transition from nonchaotic systems to chaotic or turbulent system in fluid dynamics and many other areas. The renormalization was used to explain this observed universality. This research monograph is intended to bring the reader to the frontier of this active research area which is concerned with renormalization and rigidity in real and complex one-dimensional dynamics. The research work of the author in the past several years will be included in this book. Most recent results and techniques developed by Sullivan and others for an understanding of this universality as well as the most basic and important techniques in the study of real and complex one-dimensional dynamics will also be included here.Contents: The Denjoy Distortion Principle and RenormalizationThe Koebe Distortion PrincipleThe Geometry of One-Dimensional MapsThe Renormalization Method and Folding MappingsThe Renormalization Method and Quadratic-Like MapsThermodynamical Formalism and the Renormalization OperatorReadership: Graduates and researchers in physics, mathematical physics and mathematics.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Renormalization and Geometry in One-Dimensional and Complex Dynamics. To get started finding Renormalization and Geometry in One-Dimensional and Complex Dynamics, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
327
Format
PDF, EPUB & Kindle Edition
Publisher
World Scientific Publishing Company
Release
2014
ISBN
129966279X

Renormalization and Geometry in One-Dimensional and Complex Dynamics

Yunping Jiang
4.4/5 (1290744 ratings)
Read Now Download now ⏭ listen AudioBook
Description: About one and a half decades ago, Feigenbaum observed that bifurcations, from simple dynamics to complicated ones, in a family of folding mappings like quadratic polynomials follow a universal rule (Coullet and Tresser did some similar observation independently). This observation opened a new way to understanding transition from nonchaotic systems to chaotic or turbulent system in fluid dynamics and many other areas. The renormalization was used to explain this observed universality. This research monograph is intended to bring the reader to the frontier of this active research area which is concerned with renormalization and rigidity in real and complex one-dimensional dynamics. The research work of the author in the past several years will be included in this book. Most recent results and techniques developed by Sullivan and others for an understanding of this universality as well as the most basic and important techniques in the study of real and complex one-dimensional dynamics will also be included here.Contents: The Denjoy Distortion Principle and RenormalizationThe Koebe Distortion PrincipleThe Geometry of One-Dimensional MapsThe Renormalization Method and Folding MappingsThe Renormalization Method and Quadratic-Like MapsThermodynamical Formalism and the Renormalization OperatorReadership: Graduates and researchers in physics, mathematical physics and mathematics.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Renormalization and Geometry in One-Dimensional and Complex Dynamics. To get started finding Renormalization and Geometry in One-Dimensional and Complex Dynamics, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
327
Format
PDF, EPUB & Kindle Edition
Publisher
World Scientific Publishing Company
Release
2014
ISBN
129966279X

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