The Mandelbrot Set, Theme and Variations

ISBN: 9780521774765 出版年：2000 页码：388 Tan Lei Cambridge University Press

Introduction L.Tan Preface J. Hubbard 1. The Mandelbrot set is universal C. McMullen 2. Baby Mandelbrot sets are born in cauliflowers A. Douady, X. Buff, R. Devaney and P. Sentenac 3. Modulation dans l'ensemble de Mandelbrot P. Haissinsky 4. Local connectivity of Julia sets: expository lectures J. Milnor 5. Holomorphic motions and puzzles (following M. Shishikura) P. Roesch 6. Local properties of the Mandelbrot set at parabolic points L.Tan 7. Convergence of rational rays in parameter spaces C. Petersen and G. Ryd 8. Bounded recurrence of critical points and Jakobson's Theorem S. Luzzatto 9. The Herman-Swiatek theorems with applications C. Petersen 10. Perturbations d'une fonction linearisable H. Jellouli 11. Indice holomorphe et multiplicateur H. Jellouli 12. An alternative proof of Mane's theorem on non-expanding Julia sets M. Shishikura and L.Tan 13. Geometry and dimension of Julia sets Y. -C. Yin 14. On a theorem of Mary Rees for the matings of polynomials M. Shishikura 15. Le theoreme d'integrabilite des structures presque complexes A. Douady and X. Buff 16. Bifurcation of parabolic fixed points M. Shishikura.