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Shizuo Kakutani information


Shizuo Kakutani
角谷 静夫
Kakutani in 1970
Born(1911-08-28)August 28, 1911
Osaka, Japan
DiedAugust 17, 2004(2004-08-17) (aged 92)
New Haven, Connecticut, U.S.
NationalityAmerican
Alma materTohoku University
Known forKakutani fixed-point theorem
Markov–Kakutani fixed-point theorem
Kakutani's theorem (geometry)
Kakutani–Rokhlin lemma
Riesz–Markov–Kakutani representation theorem
SpouseKeiko ("Kay") Uchida
ChildrenMichiko Kakutani
Scientific career
FieldsMathematics
InstitutionsYale University
Doctoral advisorTatsujiro Shimizu
Doctoral studentsRoy Adler
Robert M. Anderson
Anatole Beck
Alexandra Bellow

Shizuo Kakutani (角谷 静夫, Kakutani Shizuo, August 28, 1911 – August 17, 2004) was a Japanese and American mathematician, best known for his eponymous fixed-point theorem.

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Shizuo Kakutani

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Shizuo Kakutani (角谷 静夫, Kakutani Shizuo, August 28, 1911 – August 17, 2004) was a Japanese and American mathematician, best known for his eponymous fixed-point...

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Michiko Kakutani

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Kakutani, a Japanese American, was born on January 9, 1955, in New Haven, Connecticut. She is the only child of Yale mathematician Shizuo Kakutani and...

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Kakutani

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critic Shizuo Kakutani (1911–2004), Japanese-American mathematician Kakutani fixed-point theorem This page lists people with the surname Kakutani. If an...

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Shizuo

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printmaker Shizuo Imaizumi (今泉 鎮雄, born 1938), Japanese aikidoka Shizuo Kakutani (角谷 静夫, 1911–2004), Japanese-born American mathematician Shizuo Miyama (深山...

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Topological group

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r>0} , are pre-compact. The Birkhoff–Kakutani theorem (named after mathematicians Garrett Birkhoff and Shizuo Kakutani) states that the following three conditions...

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Collatz conjecture

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conjecture), the Ulam conjecture (after Stanisław Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Bryan Thwaites), Hasse's...

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Stochastic processes and boundary value problems

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methods of stochastic analysis. Perhaps the most celebrated example is Shizuo Kakutani's 1944 solution of the Dirichlet problem for the Laplace operator using...

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Roy Adler

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earned his Ph.D. in 1961 from Yale University under the supervision of Shizuo Kakutani (On some algebraic aspects of measure preserving transformations)....

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Alexandra Bellow

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received her Ph.D. from Yale University in 1959 under the direction of Shizuo Kakutani with thesis Ergodic Theory of Random Series. After receiving her degree...

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Rokhlin lemma

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It was proven by Vladimir Abramovich Rokhlin and independently by Shizuo Kakutani. The lemma is used extensively in ergodic theory, for example in Ornstein...

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Random walk

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dimensions, the probability decreases to roughly 34%. The mathematician Shizuo Kakutani was known to refer to this result with the following quote: "A drunk...

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Anatole Beck

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degree 1951) and in 1956 received his PhD from Yale University under Shizuo Kakutani PhD (On the Random Ergodic theorem). In 1958 he became Assistant Professor...

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Baire set

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Baire sets were introduced by Kunihiko Kodaira (1941, Definition 4), Shizuo Kakutani and Kunihiko Kodaira (1944) and Halmos (1950, page 220), who named...

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Tohoku University

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vice-rector of Inner Mongolia University Shizuo Kakutani (角谷 静夫), mathematician, professor at Yale, known for Kakutani fixed-point theorem Ryōji Chūbachi (中鉢良治)...

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Osaka University

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Morishima, co-founder of International Economic Review Shizuo Kakutani, mathematician known for Kakutani fixed-point theorem Jun-iti Nagata, topologist Masatoshi...

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Stochastic process

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and the mathematical field of potential theory, with early ideas by Shizuo Kakutani and then later work by Joseph Doob. Further work, considered pioneering...

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List of Yale University people

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awarded the Leroy P. Steele Prize for lifetime achievement Shizuo Kakutani, mathematician, Kakutani fixed-point theorem Serge Lang, mathematician and activist...

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Imperial Prize of the Japan Academy

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Tamura (74th) 1983 — Teruaki Mukaiyama (73rd) 1982 — Kokiti Hara [jp], Shizuo Kakutani (72nd) 1981 — Yasuiti Nagano (71st) 1980 — Yoshio Okada [jp] (70th)...

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Yoshiko Uchida

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mother of former New York Times book critic Michiko Kakutani and married to mathematician Shizuo Kakutani). She attended Longfellow School in Berkeley and...

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Deaths in August 2004

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brain cancer. Marosa di Giorgio, 72, Uruguayan poet and novelist. Shizuo Kakutani, 92, Japanese-American mathematician. Jack Marshall, 84, Canadian politician...

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Ergodic flow

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(3): 723–739, doi:10.2307/1969259, JSTOR 1969259 Ambrose, Warren; Kakutani, Shizuo (1942), "Structure and continuity of measurable flows", Duke Math....

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Scientific phenomena named after people

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conjecture (a.k.a. the Ulam conjecture (Stanisław Ulam), Kakutani's problem (Shizuo Kakutani), the Thwaites conjecture (Sir Bryan Thwaites), Hasse's algorithm...

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List of International Congresses of Mathematicians Plenary and Invited Speakers

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Eberhard Hopf Heinz Hopf Sze-Tsen Hu Witold Hurewicz Kenkichi Iwasawa Shizuo Kakutani Stephen Cole Kleene Hendrik Douwe Kloosterman Paul Lévy Hans Lewy Kurt...

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