Holomorphic Dynamics and Renormalization

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Author :
Release : 2008
Genre : Mathematics
Kind :
Book Rating : 757/5 ( reviews)

Holomorphic Dynamics and Renormalization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Holomorphic Dynamics and Renormalization write by Mikhail Lyubich. This book was released on 2008. Holomorphic Dynamics and Renormalization available in PDF, EPUB and Kindle. Collects papers that reflect some of the directions of research in two closely related fields: Complex Dynamics and Renormalization in Dynamical Systems. This title contains papers that introduces the reader to this fascinating world and a related area of transcendental dynamics. It also includes open problems and computer simulations.

Holomorphic Dynamics and Renormalization

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Author :
Release : 2008
Genre : Hamiltonian systems
Kind :
Book Rating : 870/5 ( reviews)

Holomorphic Dynamics and Renormalization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Holomorphic Dynamics and Renormalization write by . This book was released on 2008. Holomorphic Dynamics and Renormalization available in PDF, EPUB and Kindle. The papers collected in this volume reflect some of the directions of research in two closely related fields: Complex Dynamics and Renormalization in Dynamical Systems. While dynamics of polynomial mappings, particularly quadratics, has by now reached a mature state of development, much less is known about non-polynomial rational maps. The reader will be introduced into this fascinating world and a related area of transcendental dynamics by the papers in this volume. A graduate student will find an area rich with open problems and beautiful computer simulations. A survey by V. Nekrashevych int.

Complex Dynamics and Renormalization (AM-135), Volume 135

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Release : 2016-03-02
Genre : Mathematics
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Book Rating : 559/5 ( reviews)

Complex Dynamics and Renormalization (AM-135), Volume 135 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Dynamics and Renormalization (AM-135), Volume 135 write by Curtis T. McMullen. This book was released on 2016-03-02. Complex Dynamics and Renormalization (AM-135), Volume 135 available in PDF, EPUB and Kindle. Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z) = z2 + c. As discovered by Feigenbaum, such a mapping exhibits a repetition of form at infinitely many scales. Drawing on universal estimates in hyperbolic geometry, this work gives an analysis of the limiting forms that can occur and develops a rigidity criterion for the polynomial f. This criterion supports general conjectures about the behavior of rational maps and the structure of the Mandelbrot set. The course of the main argument entails many facets of modern complex dynamics. Included are foundational results in geometric function theory, quasiconformal mappings, and hyperbolic geometry. Most of the tools are discussed in the setting of general polynomials and rational maps.

Renormalization and Geometry in One-dimensional and Complex Dynamics

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Author :
Release : 1996
Genre : Science
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Book Rating : 267/5 ( reviews)

Renormalization and Geometry in One-dimensional and Complex Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Renormalization and Geometry in One-dimensional and Complex Dynamics write by Yunping Jiang. This book was released on 1996. Renormalization and Geometry in One-dimensional and Complex Dynamics available in PDF, EPUB and Kindle. The book is intended to help under- and postgraduate students and young scientists in the correct application of NMR to the solution of physico-chemical problems concerning the study of equilibria in solution. The first part of the book (Chapters 1–3) is a trivium, but should enable a student to design and conduct simple physico-chemical NMR experiments. The following chapters give illustrative material on the physico-chemical applications of NMR of increasing complexity. These chapters include the problem of determination of equilibrium and rate constants in solution, the study of paramagnetism using NMR, the application of Dynamic NMR techniques and relaxation measurements. A multipurpose nonlinear regression program is supplied (on disc for PC) and is referred to throughout the book.

Holomorphic Dynamics

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Release : 2006-11-14
Genre : Mathematics
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Book Rating : 57X/5 ( reviews)

Holomorphic Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Holomorphic Dynamics write by Xavier Gomez-Mont. This book was released on 2006-11-14. Holomorphic Dynamics available in PDF, EPUB and Kindle. The objective of the meeting was to have together leading specialists in the field of Holomorphic Dynamical Systems in order to present their current reseach in the field. The scope was to cover iteration theory of holomorphic mappings (i.e. rational maps), holomorphic differential equations and foliations. Many of the conferences and articles included in the volume contain open problems of current interest. The volume contains only research articles.