The Mandelbrot Set, Theme and Variations

Tan Lei has been a professor at the University of Angers since September 2009. Prior to that, he was a teacher and researcher at ENS Lyon, the University of Warwick and the Universite de Cergy-Pontoise.

'… this collection presents important results hitherto unpublished or difficult to find in the literature.' European Maths Society Journal

• 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. Haïssinsky; 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 linéarisable H. Jellouli; 11. Indice holomorphe et multiplicateur H. Jellouli; 12. An alternative proof of Mañé'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 théorème d'intégrabilité des structures presque complexes A. Douady and X. Buff; 16. Bifurcation of parabolic fixed points M. Shishikura.