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Holomorphic dynamics and renormalization : a volume in honour of John Milnor's 75th birthday

Author: John W Milnor; Mikhail Lyubich; Michael Yampolsky; Fields Institute for Research in Mathematical Sciences.
Publisher: Providence, R.I. : American Mathematical Society ; Toronto, Ont. : Fields Institute for Research in Mathematical Sciences, ©2008.
Series: Fields Institute communications, v. 53.
Edition/Format:   Book : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:

Collects papers that reflect some of the directions of research in two closely related fields: Complex Dynamics and Renormalization in Dynamical Systems. This title contains papers that introduces  Read more...

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Genre/Form: Conference proceedings
Congresses
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: John W Milnor; Mikhail Lyubich; Michael Yampolsky; Fields Institute for Research in Mathematical Sciences.
ISBN: 9780821842751 0821842757
OCLC Number: 233030209
Notes: Proceedings of a workshop held on Mar. 7-11, 2006.
Description: viii, 395 p. : ill. ; 26 cm.
Contents: Schwarzian derivatives and cylinder maps / Araceli Bonifant and John Milnor --
Symbolic dynamics and self-similar groups / Volodymyr Nekrashevych --
Are there critical points on the boundaries of mother hedgehogs? / Douglas K. Childers --
Finiteness for degenerate polynomials / Laura DeMarco --
Cantor webs in the parameter and dynamical planes of rational maps / Robert L. Devaney --
Simple proofs of uniformization theorems / Alexey A. Glutsyuk --
The Yoccoz combinatorial analytic invariant / Carsten L. Petersen and Pascale Roeasch --
Bifurcation loci of exponential maps and quadratic polynomials: local connectivity, triviality of fibers and density of hyperbolicity / Lasse Rempe and Dierk Schleicher --
Rational and transcendental Newton maps / Johannes Ruckert --
Newton's method as a dynamical system: efficient root finding of polynomials and the Riemann (function / Dierk Schleicher --
The external boundary of M₂ / Vladlen Timorin --
Renormalization of vector fields / Hans Koch --
Renormalization of arbitrary weak noises for one-dimensional critical dynamical systems: summary of results and numerical explorations / Oliver Diaz-Espinosa and afael de la Llave --
Kam for the non-linear Schrodinger equation --
a short presentation / Hakan L. Eliasson and Sergei B. Kuksin --
Siegel disks and renormalization fixed points / Michael Yampolsky.
Series Title: Fields Institute communications, v. 53.
Responsibility: Mikhail Lyubich, Michael Yampolsky, editors.
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