Mitsuhiro Shishikura Edit Profile
Bachelor of Science, Kyoto (Japan) University, 1983. Master of Science, Kyoto (Japan) University, 1985. Doctor of Philosophy, Kyoto (Japan) University, 1988.
He is professor at Kyoto University in Japan. Shishikura became internationally recognized for two of his earliest contributions, both of which solved long-standing open problems. In his Master's thesis, he proved a conjectured of Fatou from 1920 by showing that a rational function of degree has at most nonrepelling periodic cycles.
He proved that the boundary of the Mandelbrot set has Hausdorff dimension two, confirming a conjecture stated by Mandelbrot and Milnor. More recent results of Shishikura include
(in joint work with Kisaka) the existence of a transcendental entire function with a doubly connected wandering domain, answering a question of Baker from 1985;
(in joint work with Inou) a study of near-parabolic renormalization which is essential in Buff and Chéritat's recent proof of the existence of polynomial Julia sets of positive planar Lebesgue measure. One of the main tools pioneered by Shishikura and used throughout his work is that of quasiconformal surgery.
Member Mathematics Society Japan (Spring prize 1994).
Married Meimei Feng, September 28, 1992. Children: Ai, Mari, Tomoya.
1988 - 1989
1989 - 1990
1989 - 1992
1992 - 1994
1994 - 1999
1999 - 2001
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