Complex Dynamics (Google eBook)
Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that is closely connected to the study of fractals and chaos. Indeed the culmination of the book is a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings. The book focuses on the analytic side of this contemporary subject. The text was developed out of a course taught over several semesters; its focus is to help students and instructors to familiarize themselves with complex dynamics. Topics covered include: conformal and quasi-conformal mappings, fixed points and conjugations, basic rational iteration (the Julia set), classification of periodic components, critical points and expanding maps, some applications of conformal mappings (e.g. Hermann rings), the local geometry of the Fatou set, and quadratic polynomials and the Mandelbrot set.
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Dynamics in one complex variable, Introductory lectures , by John ...
The field of complex dynamics: The modern rebirth. I have one telling .... central importance and which anyone who wishes to pursue complex dynamics will ...
www.ams.org/ bull/ 2001-38-04/ S0273-0979-01-00918-1/ S0273-0979-01-00918-1.pdf
JSTOR: A History of Complex Dynamics from Schroder to Fatou and Julia.
663-686, December 1994 1994 Society for Industrial and Applied Mathematics 009 BOOK REVIEWS EDITED BY cw GROETSCH AND kr MEYER A History of Complex Dynamics ...
Frontiers in Complex Dynamics - mcmullen (researchindex)
This article we survey a small constellation of such conjectures, centering around the density of hyperbolic rational maps those which are dynamically the ...
Continued Fractions, Discrete Groups and Complex Dynamics
rational maps in the complex plane (that is, complex dynamics) and the theory. of discrete Mobius groups, so we should also look at complex dynamics to see ...
www.heldermann-verlag.de/ cmf/ cmf01/ cmf0134.pdf
Frontiers in complex dynamics
complex dynamics which are most closely connected to the present discussion. .... Complex Dynamics and Renormalization, volume 135. of Annals of Math. ...
www.math.harvard.edu/ ~ctm/ papers/ home/ text/ papers/ front/ front.pdf
seminar winter semester 2000
Alan F. Beardon: Iteration of Rational Functions; Lennart Carleson, Theodore W. Gamelin: Complex Dynamics; Wolfgang Fischer, Ingo Lieb: Funktionentheorie ...
www.uni-math.gwdg.de/ kriete/ w00.html
SOME OPEN PROBLEMS IN HIGHER DIMENSIONAL COMPLEX ANALYSIS AND ...
2 Complex Dynamics Problem List. 2. 2.1 Discrete Dynamics . .... (The kicked rotor; Innite dimensional complex dynamics) ...
www.math.lsa.umich.edu/ ~fornaess/ openproblems.ps
Complex Dynamics book
Complex Dynamics was used as one a textbook for the course. The notes include remarks on several of the proofs in the book, descriptions of various proofs ...
www.math.ucla.edu/ ~twg/ CD.book.html
arxiv:math.DS/9602211 v1 8 Feb 1996 Complex dynamics in several ...
study of complex dynamics in two variables and to introduce the major ideas ... the beginning of the special semester in complex dynamics and hyperbolic ...
arxiv.org/ pdf/ math/ 9602211
Complex Dynamics, Lennart Carleson and Theodore W. Gamelin. Springer Verlag, 1993. ... Complex Dynamics and Renormalization, Curtis T. mcmullen. ...
www.math.sunysb.edu/ dynamics/ bib-holomorphic.html