Home eBooks Download › holomorphic dynamical systems

Holomorphic Dynamical Systems

Download Holomorphic Dynamical Systems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Holomorphic Dynamical Systems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Holomorphic Dynamical Systems

DOWNLOAD
Author : Nessim Sibony
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-31

Holomorphic Dynamical Systems written by Nessim Sibony and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-31 with Mathematics categories.

The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related to the geometry of the ambient manifold (for instance, - perbolic manifolds do no admit chaotic behavior, while projective manifolds have a variety of different chaotic pictures). The techniques used to tackle such pr- lems are of variouskinds: complexanalysis, methodsof real analysis, pluripotential theory, algebraic geometry, differential geometry, topology. To cover all the possible points of view of the subject in a unique occasion has become almost impossible, and the CIME session in Cetraro on Holomorphic Dynamical Systems was not an exception.

Holomorphic Dynamics

DOWNLOAD
Author : Xavier Gomez-Mont
language : en
Publisher: Springer
Release Date : 2006-11-14

Holomorphic Dynamics written by Xavier Gomez-Mont and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

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.

Holomorphic Dynamical Systems

DOWNLOAD
Author : Nessim Sibony
language : en
Publisher: Springer
Release Date : 2010-08-05

Holomorphic Dynamical Systems written by Nessim Sibony and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-05 with Mathematics categories.

Complex Dynamics And Geometry

DOWNLOAD
Author : Dominique Cerveau
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Complex Dynamics And Geometry written by Dominique Cerveau and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

In the last twenty years, the theory of holomorphic dynamical systems has had a resurgence of activity, particularly concerning the fine analysis of Julia sets associated with polynomials and rational maps in one complex variable. At the same time, closely related theories have had a similar rapid development, for example the qualitative theory of differential equations in the complex domain. The meeting, ``Etat de la recherche'', held at Ecole Normale Superieure de Lyon, presented the current state of the art in this area, emphasizing the unity linking the various sub-domains. This volume contains four survey articles corresponding to the talks presented at this meeting. D. Cerveau describes the structure of polynomial differential equations in the complex plane, focusing on the local analysis in neighborhoods of singular points. E. Ghys surveys the theory of laminations by Riemann surfaces which occur in many dynamical or geometrical situations. N. Sibony describes the present state of the generalization of the Fatou-Julia theory for polynomial or rational maps in two or more complex dimensions. Lastly, the talk by J.-C. Yoccoz, written by M. Flexor, considers polynomials of degree $2$ in one complex variable, and in particular, with the hyperbolic properties of these polynomials centered around the Jakobson theorem. This is a general introduction that gives a basic history of holomorphic dynamical systems, demonstrating the numerous and fruitful interactions among the topics. In the spirit of the ``Etat de la recherche de la SMF'' meetings, the articles are written for a broad mathematical audience, especially students or mathematicians working in different fields. This book is translated from the French edition by Leslie Kay.

Thermodynamic Formalism And Holomorphic Dynamical Systems

DOWNLOAD
Author : Michel Zinsmeister
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Thermodynamic Formalism And Holomorphic Dynamical Systems written by Michel Zinsmeister and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

Thermodynamics helps in understanding the equilibrium of a gas or the different states of matter, and recently it has also become a powerful tool for understanding the objects of holomorphic dynamical systems. While the reasons remain obscure, this book begins to describe the physical and mathematical aspects of this relationship in order to understand how it works and how useful it can be. Annotation copyrighted by Book News, Inc., Portland, OR

Quasiconformal Mappings In The Plane And Complex Dynamics

DOWNLOAD
Author : Luis T. Magalhães
language : en
Publisher: Springer Nature
Release Date : 2025-06-10

Quasiconformal Mappings In The Plane And Complex Dynamics written by Luis T. Magalhães and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-10 with Mathematics categories.

This book comprehensively explores the foundations of quasiconformal mappings in the complex plane, especially in view of applications to complex dynamics. Besides playing a crucial role in dynamical systems these mappings have important applications in complex analysis, geometry, topology, potential theory and partial differential equations, functional analysis and calculus of variations, electrostatics and nonlinear elasticity . The work covers standard material suitable for a one-year graduate-level course and extends to more advanced topics, in an accessible way even for students in an initial phase of university studies who have learned the basics of complex analysis at the usual level of a rigorous first one-semester course on the subject. At the frontier of complex analysis with real analysis, quasiconformal mappings appeared in 1859-60 in the cartography work of A. Tissot, well before the term “quasiconformal” was coined by L. Ahlfors in 1935. The detailed study of these mappings began in 1928 by H. Grötzsch, and L. Ahlfors’ seminal work published in 1935 significantly contributed to their development and was considered for awarding him the Fields Medal in 1936. The theory further evolved in 1937 and 1939 with O. Teichmüller’s contributions, and subsequent advancements are partially covered in this book. Organized into ten chapters with eight appendices, this work aims to provide an accessible, self-contained approach to the subject and includes examples at various levels and extensive applications to holomorphic dynamics. Throughout the text, historical notes contextualize advancements over time. A sequel to the author’s previous book, ‘Complex Analysis and Dynamics in One Variable with Applications,’ also published by Springer, this volume might be suitable for students in mathematics, physics, or engineering. A solid background in basic mathematical analysis is recommended to fully benefit from its content.

Geometry Of Riemann Surfaces

DOWNLOAD
Author : William J. Harvey
language : en
Publisher: Cambridge University Press
Release Date : 2010-02-11

Geometry Of Riemann Surfaces written by William J. Harvey and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-11 with Mathematics categories.

Original research and expert surveys on Riemann surfaces.

Lectures On Holomorphic Dynamical Systems

DOWNLOAD
Author : César Leopoldo Camacho Manco
language : en
Publisher:
Release Date :

Lectures On Holomorphic Dynamical Systems written by César Leopoldo Camacho Manco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Patterns And Waves

DOWNLOAD
Author : T. Nishida
language : en
Publisher: Elsevier
Release Date : 2011-09-22

Patterns And Waves written by T. Nishida and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.

Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications.Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals.The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.

Dynamics Of Circle Mappings

DOWNLOAD
Author : Edson de Faria
language : en
Publisher: Springer Nature
Release Date : 2024-10-16

Dynamics Of Circle Mappings written by Edson de Faria and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-16 with Mathematics categories.

This book explores recent developments in the dynamics of invertible circle maps, a rich and captivating topic in one-dimensional dynamics. It focuses on two main classes of invertible dynamical systems on the circle: global diffeomorphisms and smooth homeomorphisms with critical points. The latter is the book's core, reflecting the authors' recent research interests. Organized into four parts and 14 chapters, the content covers rigid rotations, circle homeomorphisms, and the concept of rotation number in the first part. The second part delves into circle diffeomorphisms, presenting classical results. The third part introduces multicritical circle maps—smooth homeomorphisms of the circle with a finite number of critical points. The fourth and final part centers on renormalization theory, analyzing the fine geometric structure of orbits of multicritical circle maps. Complete proofs for several fundamental results in circle dynamics are provided throughout. The book concludes with a list of open questions. Primarily intended for graduate students and young researchers in dynamical systems, this book is also suitable for mathematicians from other fields with an interest in the subject. Prerequisites include familiarity with the content of a standard graduate course in real analysis, along with some understanding of ergodic theory and dynamical systems. Basic knowledge of complex analysis is needed for specific chapters.

Holomorphic Dynamical Systems

Recent Posts