Hiroshi Tanaka
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Hiroshi Tanaka | |
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国籍 | Japanese |
研究分野 | Stochastic analysis |
研究機関 | University of Kyoto |
出身校 | University of Kyoto |
博士課程 指導教員 | Kiyosi Itô |
主な業績 |
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影響を 受けた人物 | Kiyosi Itô |
プロジェクト:人物伝 |
Hiroshi Tanaka (田中洋, 23 December 1935) was a Japanese mathematician, who has made fundamental contributions to probability theory such as distributional view of stochastic analysis, probabilistic treatment of mathematical physics, and many more.[1] In 1994 he was an invited speaker at the International Congress of Mathematicians (Diffusion processes in random environments) in Zürich.
Biography[編集]
Tanaka received his bachelor's degree from Kyoto University in 1958 and completed his Ph.D. under Kiyosi Itô in 1963. Tanaka became a professor at Keio University.
Mathematical contributions[編集]
Tanaka has made many important fundamental contributions to stochastic analysis, the theory of stochastic processes, and mathematical physics. His first significant results is so-called local time and Tanaka formula. He also discovered the first example of non-strong solution of stochastic differential equations, which is called weak solution. Another important contribution of Tanaka has been to introduce diffusion processes in random environments, by analogy to Sinai's random walks, and apply this theory to study of statistical physics.
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