Download or read book Iteration of Rational Functions written by Alan F. Beardon and published by Springer Science & Business Media. This book was released on 2000-09-27 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before.

Download or read book On the Iteration of Rational Functions written by Joseph Fels Ritt and published by . This book was released on 1920* with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Iteration of Rational Functions of One Complex Variable and Basins of Attractive Fixed Points written by Gregg Willard Saunders and published by . This book was released on 1984 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rational Iteration written by Norbert Steinmetz and published by Walter de Gruyter. This book was released on 2011-07-22 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Download or read book The Iteration of Rational Functions and Their Julian Sets written by Chrystina M. Howard and published by . This book was released on 1994 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Random Iteration of Rational Functions written by David Simmons and published by . This book was released on 2012 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Random Iteration of Rational Functions written by Simmons David and published by LAP Lambert Academic Publishing. This book was released on 2014-01 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to study the ergodic theory of holomorphic random dynamical systems on the Riemann sphere. Specifically, the main results are two generalizations of a theorem of Denker and Urba ski ('91) concerning existence and uniqueness of equilibrium states of rational functions with respect to Holder continuous potential functions satisfying a "pressure gap" condition. The main results also generalize a theorem of Jonsson ('00).

Download or read book Invariant Sets Under Iteration of Rational Functions written by Hans Brolin and published by . This book was released on 1965 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Invariant sets under iteration of rational functions written by Hans Brolin and published by . This book was released on 1965 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Optimal Starting Approximations for Iterative Schemes from Classes of Rational Functions written by John Bryon Gibson and published by . This book was released on 1971 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Random Iterations of Rational Functions written by John Erik Fornaess and published by . This book was released on 1990 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rational Iteration written by Clemens Inninger and published by . This book was released on 2001 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Early Days in Complex Dynamics written by Daniel S. Alexander and published by American Mathematical Soc.. This book was released on 2012 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Finite or Infinite Dimensional Complex Analysis written by Joji Kajiwara and published by CRC Press. This book was released on 2019-05-07 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.

Download or read book Chaotic Dynamical Systems Proceedings Of The Rims Conference written by Shigehiro Ushiki and published by World Scientific. This book was released on 1993-03-16 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second book in the Stem Cell Repair and Regeneration series provides a deeper exploration of the therapeutic potential of undifferentiated human stem cells.Regenerative medicine is an extremely fast-moving field which is evolving from the initial days of hype and excitement to a more realistic appraisal of the role of stem cells in the treatment of degenerative disorders. The series aims to keep abreast of these changes by combining new knowledge in stem cell biology and therapeutic applications.The current volume contains papers by the field's leading scientists and explores the current knowledge on cell therapy for different diseases and injured organs, including diabetes, liver and heart disease./a

Download or read book KWIC Index for Numerical Algebra written by Alston Scott Householder and published by . This book was released on 1972 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fatou Julia Montel written by Michèle Audin and published by Springer Science & Business Media. This book was released on 2011-01-30 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: How did Pierre Fatou and Gaston Julia create what we now call Complex Dynamics, in the context of the early twentieth century and especially of the First World War? The book is based partly on new, unpublished sources. Who were Pierre Fatou, Gaston Julia, Paul Montel? New biographical information is given on the little known mathematician that was Pierre Fatou. How did the WW1 injury of Julia influence mathematical life in France? From the reviews of the French version: "Audin’s book is ... filled with marvelous biographical information and analysis, dealing not just with the men mentioned in the book’s title but a large number of other players, too ... [It] addresses itself to scholars for whom the history of mathematics has a particular resonance and especially to mathematicians active, or even with merely an interest, in complex dynamics. ... presents it all to the reader in a very appealing form." (Michael Berg, The Mathematical Association of America, October 2009)