Transcendental Dynamics And Complex Analysis
DOWNLOAD
Download Transcendental Dynamics And Complex Analysis PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Transcendental Dynamics And Complex Analysis 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
Transcendental Dynamics And Complex Analysis
DOWNLOAD
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.
Early Days In Complex Dynamics
DOWNLOAD
Author : Daniel S. Alexander
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Early Days In Complex Dynamics written by Daniel S. Alexander 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 2012 with Mathematics categories.
The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex function conducted by Koenigs, Schoder, and others, flourished remarkably during the first half of the 20th century, when many of the central ideas and techniques of the subject developed. This book paints a robust picture of the field of complex dynamics between 1906 and 1942 through detailed discussions of the work of Fatou, Julia, Siegel, and several others.
Meromorphic Dynamics
DOWNLOAD
Author : Janina Kotus
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-28
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 2023-02-28 with Mathematics categories.
The first monograph to explore the beautiful and rich dynamics of elliptic functions, with an emphasis on ergodic aspects.
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.
Complex Analysis And Its Applications
DOWNLOAD
Author : C.C. Yang
language : en
Publisher: CRC Press
Release Date : 1994-04-05
Complex Analysis And Its Applications written by C.C. Yang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-04-05 with Mathematics categories.
This volume presents a collection of contributions to an international conference on complex analysis and its applications held at the newly founded Hong Kong University of Science and Technology in January 1993. The aim of the conference was to advance the theoretical aspects of complex analysis and to explore the application of its techniques to physical and engineering problems. Three main areas were emphasised: Value distribution theory; Complex dynamical system and geometric function theory; and the Application of complex analysis to differential quations and physical engineering problems.
Explorations In Complex Analysis
DOWNLOAD
Author : Michael A. Brilleslyper
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-12-31
Explorations In Complex Analysis written by Michael A. Brilleslyper 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 2012-12-31 with Mathematics categories.
Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.
Meromorphic Dynamics Volume 2
DOWNLOAD
Author : Janina Kotus
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-28
Meromorphic Dynamics Volume 2 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 second of two volumes, builds on the foundational material on ergodic theory and geometric measure theory provided in Volume I, and applies all the techniques discussed to describe the beautiful and rich dynamics of elliptic functions. The text begins with an introduction to topological dynamics of transcendental meromorphic functions, before progressing to elliptic functions, discussing at length their classical properties, measurable dynamics and fractal geometry. The authors then look in depth at compactly non-recurrent elliptic functions. Much of this material is appearing for the first time in book or paper form. Both senior and junior researchers working in ergodic theory and dynamical systems will appreciate what is sure to be an indispensable reference.
Thermodynamic Formalism
DOWNLOAD
Author : Mark Pollicott
language : en
Publisher: Springer Nature
Release Date : 2021-10-01
Thermodynamic Formalism written by Mark Pollicott and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-01 with Mathematics categories.
This volume arose from a semester at CIRM-Luminy on “Thermodynamic Formalism: Applications to Probability, Geometry and Fractals” which brought together leading experts in the area to discuss topical problems and recent progress. It includes a number of surveys intended to make the field more accessible to younger mathematicians and scientists wishing to learn more about the area. Thermodynamic formalism has been a powerful tool in ergodic theory and dynamical system and its applications to other topics, particularly Riemannian geometry (especially in negative curvature), statistical properties of dynamical systems and fractal geometry. This work will be of value both to graduate students and more senior researchers interested in either learning about the main ideas and themes in thermodynamic formalism, and research themes which are at forefront of research in this area.
Complex Dynamical Systems The Mathematics Behind The Mandelbrot And Julia Sets
DOWNLOAD
Author : Robert L. Devaney
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Complex Dynamical Systems The Mathematics Behind The Mandelbrot And Julia Sets written by Robert L. Devaney 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 1994 with Mathematics categories.
The Mandelbrot set has emerged as one of the most recognizable objects in mathematics. While there is no question of its beauty, relatively few people appreciate the fact that the mathematics behind such images is equally beautiful. This book presents lectures delivered during the AMS Short Course entitled Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets, held at the Joint Mathematics Meetings in Cincinnati in January 1994. The lectures cover a wide range of topics, including the classical work of Julia and Fatou on local dynamics of analytic maps as well as recent work on the dynamics of quadratic and cubic polynomials, the geometry of Julia sets, and the structure of various parameter spaces. Among the other topics are recent results on Yoccoz puzzles and tableaux, limiting dynamics near parabolic points, the spider algorithm, extensions of the theory to rational maps, Newton's method, and entire transcendental functions. Much of the book is accessible to anyone with a background in the basics of dynamical systems and complex analysis.
Reversibility In Dynamics And Group Theory
DOWNLOAD
Author : Anthony G. O'Farrell
language : en
Publisher: Cambridge University Press
Release Date : 2015-05-28
Reversibility In Dynamics And Group Theory written by Anthony G. O'Farrell 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 2015-05-28 with Mathematics categories.
An accessible yet systematic account of reversibility that demonstrates its impact throughout many diverse areas of mathematics.