Topological Dynamics Of Transcendental Entire Functions
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Topological Dynamics Of Transcendental Entire Functions
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Author : Helena Mihaljevic-Brandt
language : en
Publisher:
Release Date : 2009
Topological Dynamics Of Transcendental Entire Functions written by Helena Mihaljevic-Brandt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Dynamics Of Transcendental Functions
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Author : Xin-Hou Hua
language : en
Publisher: Routledge
Release Date : 2019-01-22
Dynamics Of Transcendental Functions written by Xin-Hou Hua and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-22 with Mathematics categories.
In this extensive work, the authors give a complete self-contained exposition on the subject of classic function theory and the most recent developments in transcendental iteration. They clearly present the theory of iteration of transcendental functions and their analytic and geometric aspects. Attention is concentrated for the first time on the d
Dynamics Of Transcendental Entire Functions
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Author : Xiaoling Wang
language : en
Publisher:
Release Date : 2003
Dynamics Of Transcendental Entire Functions written by Xiaoling Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Functions, Entire categories.
Holomorphic Dynamics
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Author : S. Morosawa
language : en
Publisher: Cambridge University Press
Release Date : 2000-01-13
Holomorphic Dynamics written by S. Morosawa 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 2000-01-13 with Mathematics categories.
This book, first published in 2000, is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration of various analytic maps in complex number spaces. This has been the focus of much attention in recent years, with, for example, the discovery of the Mandelbrot set, and work on chaotic behaviour of quadratic maps. The treatment is mathematically unified, emphasizing the substantial role played by classical complex analysis in understanding holomorphic dynamics as well as giving an up-to-date coverage of the modern theory. The authors cover entire functions, Kleinian groups and polynomial automorphisms of several complex variables such as complex Henon maps, as well as the case of rational functions. The book will be welcomed by graduate students and professionals in pure mathematics and science who seek a reasonably self-contained introduction to this exciting area.
Dynamics Of Transcendental Entire Functions With Escaping Singular Orbits
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Author : Leticia Pardo Simón
language : en
Publisher:
Release Date : 2019
Dynamics Of Transcendental Entire Functions With Escaping Singular Orbits written by Leticia Pardo Simón and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Transcendental Dynamics And Complex Analysis
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Author : Philip J. Rippon
language : en
Publisher: Cambridge University Press
Release Date : 2008-06-26
Transcendental Dynamics And Complex Analysis written by Philip J. Rippon 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 2008-06-26 with Mathematics categories.
Presenting papers by researchers in transcendental dynamics and complex analysis, this exciting new and modern book is written in honor of Noel Baker, who laid the foundations of transcendental complex dynamics. The papers describe the state of the art in this subject, with new results on completely invariant domains, wandering domains, the exponential parameter space, and normal families. The inclusion of comprehensive survey articles on dimensions of Julia sets, buried components of Julia sets, Baker domains, Fatou components of functions of small growth, and ergodic theory of transcendental meromorphic functions means this is essential reading for students and researchers in complex dynamics and complex analysis.
Meromorphic Dynamics
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Author : Janina Kotus
language : en
Publisher: Cambridge University Press
Release Date : 2023-01-31
Meromorphic Dynamics written by Janina Kotus 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 2023-01-31 with Mathematics categories.
A comprehensive and detailed presentation of finite and infinite ergodic theory, fractal measures, and thermodynamic formalism.
Topological Methods In The Theory Of Functions Of A Complex Variable
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Author : Marston Morse
language : en
Publisher: Princeton University Press
Release Date : 1948-01-20
Topological Methods In The Theory Of Functions Of A Complex Variable written by Marston Morse and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948-01-20 with Mathematics categories.
A classic treatment of topological methods in the theory of functions of a complex variable from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Holomorphic Dynamical Systems
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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.
Meromorphic Dynamics Volume 1
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Author : Janina Kotus
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-28
Meromorphic Dynamics Volume 1 written by Janina Kotus 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 2023-02-28 with Mathematics categories.
This text, the first of two volumes, provides a comprehensive and self-contained introduction to a wide range of fundamental results from ergodic theory and geometric measure theory. Topics covered include: finite and infinite abstract ergodic theory, Young's towers, measure-theoretic Kolmogorov-Sinai entropy, thermodynamics formalism, geometric function theory, various kinds of conformal measures, conformal graph directed Markov systems and iterated functions systems, semi-local dynamics of analytic functions, and nice sets. Many examples are included, along with detailed explanations of essential concepts and full proofs, in what is sure to be an indispensable reference for both researchers and graduate students.