Mitsuhiro Shishikura
Mitsuhiro Shishikura ( Japanese 宍 倉 光 広 , Shishikura Mitsuhiro ; born November 27, 1960 ) is a Japanese mathematician who deals with dynamic systems and especially complex dynamics. He is a professor at Kyoto University .
In 1988 he received his doctorate ( Trees associated with the configuration of Herman rings ) from Kyoto University.
Shishikura proved two important, long open problems in the complex dynamics:
- In his diploma thesis he proved a conjecture by Pierre Fatou from 1920 that a rational function of the degree at iteration has at most non-repulsive periodic cycles.
- In 1998 he proved a conjecture by Benoit Mandelbrot and John Milnor that the Hausdorff dimension of the edge of a Mandelbrot set is 2.
In his work on complex dynamics, he introduced the method of quasi-conformal surgery.
In 2008 he proved the existence of a transcendental whole function with doubly connected wandering area. His work with H. Inoue from 2008 plays a role in the proof of Xavier Buff and Arnaud Chéritat about Julia sets of polynomial maps with positive Lebesgue measure .
In 1995 he received the Spring Prize of the Japanese Mathematical Society and in 1992 the Salem Prize . In 1994 he was invited speaker at the International Congress of Mathematicians in Zurich ( Topological, Geometric and Complex Analytic Properties of Julia sets ).
Web links
- Homepage
- Mitsuhiro Shishikura in the Mathematics Genealogy Project (English)
Individual evidence
- ↑ Entry 000000200102 in the Doctoral Dissertation Bibliographic Database of the National Institute of Informatics
- ↑ Shishikura: On the quasiconformal surgery of rational functions , Ann. Sci. École Norm. Sup. (4) 20 (1987) no. 1, 1-29
- ↑ Shishikura: The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets , Ann. of Math. (2) 147 (1998) no. 2, 225-267
- ↑ M. Kisaka, M. Shishikura: On multiply connected wandering domains of entire functions , in: Transcendental dynamics and complex analysis, London Math. Soc. Lecture Note Ser., 348, Cambridge Univ. Press, Cambridge, 2008, 217-250
- ^ Inoue, Shishikura: The renormalization of parabolic fixed points and their perturbation , Preprint, 2008
personal data | |
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SURNAME | Shishikura, Mitsuhiro |
ALTERNATIVE NAMES | 宍 倉 光 広 (Japanese) |
BRIEF DESCRIPTION | Japanese mathematician |
DATE OF BIRTH | November 27, 1960 |