Tan Lei
Tan Lei (March 18, 1963 - April 1, 2016 ) was a Chinese mathematician.
Tan received his PhD in 1987 under Adrien Douady at the University of Paris-South in Orsay ( Accouplements des polynômes quadratiques complexes ). She was an assistant at the University of Geneva and visiting researcher at the Max Planck Institute for Mathematics and the University of Bremen. In 1990 she became Maître de Conférences at the Ecole Normale Superieure de Lyon, was Chargé de recherches of the CNRS and visiting scholar at the University of Warwick, before becoming Maître de Conférences at the University of Cergy-Pontoise in 1999 . In 2009 she became a professor at Angers University .
Tan achieved important results on Mandelbrot sets and Julia sets . For example, she proved that the sets at certain points (the Misiurewicz points) are asymptotically similar (with appropriate scaling and rotation). In 1993, together with John Milnor , she provided the first examples of Julia sets that are homeomorphic to fractals called Sierpinski curves .
She was married to the mathematician Hans Henrik Rugh (University of Paris-South Orsay) and had two children.
Fonts
- Accouplements des polynômes quadratiques complexes , Comptes rendus de l'Académie des sciences 302 Série 1 Nº 17, 1986, pp. 635–638 (French)
- Similarity between the Mandelbrot set and Julia sets , Communications in Mathematical Physics 134, 1990, pp. 587-617 (English)
- Voisinages connexes des points de Misiurewicz, Ann. Inst. Fourier, Vol. 42, 1992, pp. 707-735.
- Similarity between the Mandelbrot set and Julia sets, Commun. Math. Phys., Vol. 134, 1990, pp. 587-617.
- A Sierpinski carpet as Julia set, Appendix to: J. Milnor, Geometry and dynamics of quadratic rational maps, Exper. Math., Volume. 2, 1993, pp. 78-81.
- Local properties of The Mandelbrot set M, Similarity between M and Julia sets, Proceedings of the seventh European Women in Mathematics (EWM) meeting, Madrid, 1995, pp. 71-82.
- with K. Pilgrim: Rational maps with disconnected Julia set, Astérisque, Volume 261, 2000, pp. 349-384.
- as editor: The Mandelbrot set, theme and variations , London Mathematical Society Lecture Note Series 274, Cambridge University Press, 2000, ISBN 0-521-77476-4 (English) (therein by Tan Lei: Introduction, Local properties of the Mandelbrot set at parabolic points, and with M. Shishikura, An alternative proof of Mané's theorem on non-expanding Julia sets)
- with G.-Zh. Cui: A characterization of hyperbolic rational maps, Invent. math., Volume 183, 2011, pp. 451-516
- with G.-Zh. Cui, W.-J. Peng: On the topology of wandering Julia components, Discrete and Continuous Dynamical Systems, Volume 29, 2010, pp. 929-952
- with Xavier Buff , G.-Zh. Cui: Teichmpüller spaces and holomorphic dynamics, in: Handbook of Teichmüller Theory, Volume 4, EMS 2014
- with Xavier Buff: The quadratic dynatomic curves are smooth and irreducible, in: Araceli Bonifant, Misha Lyubich, Scott Sutherland (Eds.), Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday, Princeton University Press, 2014, p. 49 -72.
Web links
- Tan Lei, Maitre de Conferences ( Memento of April 10, 2009 in the Internet Archive ) - Homepage in Cergy-Pontoise
- Tan Lei, Professeur des universités - Homepage in Angers
Individual evidence
- ↑ Tan Lei in the Mathematics Genealogy Project (English)
- ^ Website on Tan Lei by Rugh
| personal data | |
|---|---|
| SURNAME | Tan, lei |
| BRIEF DESCRIPTION | Chinese mathematician |
| DATE OF BIRTH | March 18, 1963 |
| DATE OF DEATH | April 1, 2016 |