Transcendental Dynamics
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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.
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
Topics In Transcendental Dynamics
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Author : David Sixsmith
language : en
Publisher:
Release Date : 2013
Topics In Transcendental Dynamics written by David Sixsmith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Dynamics categories.
Topics In Transcendental Dynamics
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Author : Dave Sixsmith
language : en
Publisher:
Release Date : 2013
Topics In Transcendental Dynamics written by Dave Sixsmith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Transcendental Dynamics
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Author : Gustavo Rodrigues Ferreira
language : en
Publisher:
Release Date : 2023
Transcendental Dynamics written by Gustavo Rodrigues Ferreira and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
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.
Infinite Dimensional Thurston Theory And Transcendental Dynamics With Escaping Singular Orbits
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Author : Konstantin Bogdanov
language : en
Publisher:
Release Date : 2020
Infinite Dimensional Thurston Theory And Transcendental Dynamics With Escaping Singular Orbits written by Konstantin Bogdanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
The topic of this thesis is to distinguish and classify a family of transcendental entire functions in terms of the dynamics of their singular values. This classification follows the lead of Thurston's famous characterization theorem of rational maps, but in the context of transcendental mappings, and works with infinite rather than finite dimensional Teichmüller theory.The families of maps that we investigate are compositions of exponential and polynomial functions, and we focus on the case where all singular values converge (fast) to infinity: this is in analogy to quadratic polynomials where the set of functions with singular values converging to infinity forms the complement of the celebrated Mandelbrot set. Even for polynomials, the situation becomes far more challenging when there is more than one singular value, as each singular value introduces another degree of freedom. In the transcendental case, the description of individual escaping singular values introduces additional challenges that have been understood only recently, and a classification of such maps is known so far only for the family of exponential maps.The construction of an entire transcendental function with prescribed speed of escape and combinatorics of singular values involves consideration of iterates of a map (in analogy to Thurston's sigma-mapping) that acts on an infinite-dimensional Teichmüller space (more precisely, Teichmüller space modeled on the complement of singular orbits).
Dynamics On Transcendental Semigroups
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Author : Kin-keung Poon
language : en
Publisher:
Release Date : 1998
Dynamics On Transcendental Semigroups written by Kin-keung Poon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Functions, Entire categories.
Random Dynamics Of Transcendental Functions
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Author : Volker Mayer
language : en
Publisher:
Release Date : 2014
Random Dynamics Of Transcendental Functions written by Volker Mayer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
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.