The Mandelbrot set, theme and variationsedited by Tan Lei.
- Cambridge, UK ; New York : Cambridge University Press, (c)2000.
- 1 online resource (xx, 365 pages) : illustrations.
- London Mathematical Society lecture note series ; 274 .
Includes bibliographical references.
Mandelbrot set is universal / Baby Mandelbrot sets are born in cauliflowers / Modulation dans l'ensemble de Mandelbrot / Local connectivity of Julia sets : expository lectures / Holomorphic motions and puzzles (following M. Shishikura) / Local properties of the Mandelbrot set at parabolic points / Convergence of rational rays in parameter spaces / Bounded recurrence of critical points and Jakobson's Theorem / Herman-Światek Theorems with applications / Perturbation d'une fonction linéarisable -- Indice holomorphe et multiplicateur / Alternative proof of Mañés theorem on non-expanding Julia sets / Geometry and dimension of Julia sets / On a theorem of M. Rees for the matings of polynomials / Le théorèm d'intégrabilité des structures presque complexes / Bifurcation of parabolic fixed points / C. McMullen -- A. Douady, with the participation of X. Buff, R. Devaney and P. Sentenac -- P. Haïssinsky -- J. Milnor -- P. Roesch -- Tan L. -- C. Petersen and G. Ryd -- S. Luzzatto -- C. Petersen -- H. Jellouli -- M. Shishikura and Tan L. -- Yin Y.-C. -- M. Shishikura -- A. Douady, d'après des notes de X. Buff -- M. Shishikura.
"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 In addition to presenting new work, this collection documents important results hitherto unpublished or difficult to find in the literature."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."--BOOK JACKET.