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Title The Mandelbrot set, theme and variations / edited by Tan Lei.

Publication Info. Cambridge, UK ; New York : Cambridge University Press, 2000.

Item Status

Description 1 online resource (xx, 365 pages) : illustrations.
Physical Medium polychrome
Description text file
Series London Mathematical Society lecture note series ; 274
London Mathematical Society lecture note series ; 274.
Bibliography Includes bibliographical references.
Contents Mandelbrot set is universal / C. McMullen -- Baby Mandelbrot sets are born in cauliflowers / A. Douady, with the participation of X. Buff, R. Devaney and P. Sentenac -- Modulation dans l'ensemble de Mandelbrot / P. Haïssinsky -- Local connectivity of Julia sets : expository lectures / J. Milnor -- Holomorphic motions and puzzles (following M. Shishikura) / P. Roesch -- Local properties of the Mandelbrot set at parabolic points / Tan L. -- Convergence of rational rays in parameter spaces / C. Petersen and G. Ryd -- Bounded recurrence of critical points and Jakobson's Theorem / S. Luzzatto -- Herman-Światek Theorems with applications / C. Petersen -- Perturbation d'une fonction linéarisable ; Indice holomorphe et multiplicateur / H. Jellouli -- Alternative proof of Mañés theorem on non-expanding Julia sets / M. Shishikura and Tan L. -- Geometry and dimension of Julia sets / Yin Y.-C. -- On a theorem of M. Rees for the matings of polynomials / M. Shishikura -- Le théorèm d'intégrabilité des structures presque complexes / A. Douady, d'après des notes de X. Buff -- Bifurcation of parabolic fixed points / M. Shishikura.
Summary "This volume provides a systematic exposition of current knowledge about the Mandelbrot set and presents the latest research in complex dynamics. In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature." "This book will be of interest to graduate students in mathematics, physics and mathematical biology, as well as researchers in dynamical systems and Kleinian groups."--Jacket.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Mandelbrot sets.
Mandelbrot sets.
Genre/Form Electronic books.
Added Author Tan, Lei, 1963-
Other Form: Print version: Mandelbrot set, theme and variations. Cambridge, UK ; New York : Cambridge University Press, 2000 0521774764 (DLC) 99054508 (OCoLC)42765098
ISBN 9781107363076 (electronic book)
1107363071 (electronic book)
0521774764
9780521774765
9780511569159