Mitsuhiro Shishikura (宍倉 光広, Shishikura Mitsuhiro; born November 27, 1960) is a Japanese mathematician working in the…
Mitsuhiro Shishikura (宍倉 光広, Shishikura Mitsuhiro; born November 27, 1960) is a Japanese mathematician working in the field of complex dynamics. 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 conjecture of Fatou from 1920 by showing that a rational function of degree d {\displaystyle d\,} has at most 2 d − 2 {\displaystyle 2d-2\,} nonrepelling periodic cycles. He proved that the boundary of the Mandelbrot set has Hausdorff dimension two, confirming a conjecture stated by Mandelbrot and Milnor. For his results, he was awarded the Salem Prize in 1992, and the Iyanaga Spring Prize of the Mathematical Society of Japan in 1995. 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. (in joint work with Cheraghi) A proof of the local connectivity of the Mandelbrot set at some infinitely satellite renormalizable points. (in joint work with Yang) A proof of the regularity of the boundaries of the high type Siegel disks of quadratic polynomials. One of the main tools pioneered by Shishikura and used throughout his work is that of quasiconformal surgery. His doctoral students include Weixiao Shen.
Famous People from Gunma Prefecture
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Jun-ichi Igusa (井草 凖一, Igusa Jun’ichi; 30 January 1924 – 24 November 2013) was a Japanese mathematician who for over…
Jun-ichi Igusa (井草 凖一, Igusa Jun’ichi; 30 January 1924 – 24 November 2013) was a Japanese mathematician who for over three decades was on the faculty at Johns Hopkins University. He is known for his contributions to algebraic geometry and number theory. The Igusa zeta-function, the Igusa quartic, Igusa subgroups, Igusa curves, and Igusa varieties are named after him. He was an invited speaker for the 1962 International Congress of Mathematicians in Stockholm. He was awarded Japan's Order of the Sacred Treasure. In 2012 he became a fellow of the American Mathematical Society.
Kenjiro Shoda (Japanese: 正田 建次郎 Shōda Kenjirō; February 25, 1902 – March 20, 1977) was a Japanese mathematician.