The Mandelbrot set, theme and variations /

Bibliographic Details
Other Authors: Tan, Lei, 1963-
Format: Book
Language:English
Published: Cambridge ; New York : Cambridge University Press, 2000.
Series:London Mathematical Society lecture note series ; 274.
Subjects:
Table of 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.