page_title: Kiyosi Itô
section_title: Overviews
hierarchical_section_title: Kiyosi Itô / Overviews
caption_attribution_description: Issei Shiraishi and Kiyoshi Itō, Students of Tokyo Imperial University, posed for photos on 1935.
context_page_description: Kiyosi Itô was a Japanese mathematician.
context_section_description: Itô pioneered the theory of stochastic integration and stochastic differential equations, now known as Itô calculus. Its basic concept is the Itô integral, and among the most important results is a change of variable formula known as Itô's lemma. Itô calculus is a method used in the mathematical study of random events and is applied in various fields, and is perhaps best known for its use in mathematical finance. Itô also made contributions to the study of diffusion processes on manifolds, known as stochastic differential geometry.
  Although the standard Hepburn romanization of his name is Kiyoshi Itō, he used the spelling Kiyosi Itô (Kunrei-shiki romanization). The alternative spellings Itoh and Ito are also sometimes seen in the West.
caption: Itô (right) with Issei Shiraishi in 1935. Shiraishi later became a mathematician.
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