22-525: [REDACTED] Look up ito , Ito , or ITO in Wiktionary, the free dictionary. [REDACTED] Look up itō , Itō , or -ito in Wiktionary, the free dictionary. ITO may refer to: Hilo International Airport , IATA airport code Indium tin oxide , a transparent conductor Information Technology Outsourcing International Trade Organization Inventory turnover ,
44-823: A common practice among higher-ranking Japanese academics. Itô was recipient of the Wolf Prize and the Kyoto Prize . He was a member of the Japan Academy , and also a foreign member of the Académie des sciences in France and the National Academy of Sciences in the United States. In his later years, Itô struggled with poor health. Itô was awarded the inaugural Gauss Prize in 2006 by
66-792: A hybrid plant in genus Paeonia Indium tin oxide (ITO), a transparent thin film conductor I to1 , an abbreviation of cardiac transient outward potassium current Ito: A Diary of an Urban Priest , a 2010 documentary film by Pirjo Honkasalo See also [ edit ] Ito cell , a fat-storing cell found in the liver; also called a hepatic stellate cell Ito-toren , an office building in Amsterdam Itô calculus Itô's lemma , used in stochastic calculus Itoh–Tsujii inversion algorithm , in field theory in Spanish, diminitives are formed by appending -ito to masculine words ITO (disambiguation) Topics referred to by
88-463: A measure of the number of times inventory is sold or used in a certain period of time Involuntary Treatment Order , typically for psychiatric treatment Initial token offering See also [ edit ] Ito (disambiguation) ITO barrage , on the Yamuna River, India Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with
110-591: A mimeographed copy of a paper while in a military camp. Scholarly activity during the Occupation of Japan had its difficulties; in one case, paper shortages were such that a lengthy Itô article could not be published in a Japanese journal and he had to arrange for an American journal to publish it instead. Ito later referred to his time at Nagoya as having been during "the dark age of World War II and its aftermath." After this period he continued to develop his ideas on stochastic analysis with many important papers on
132-745: A youth. Admitted to the Imperial University of Tokyo , he studied mathematics and became interested in the underdeveloped field of probability theory , graduating from there in 1938, with his degree in mathematics being granted by the university's Faculty of Science . From 1939 to 1943 he worked as a Statistical Officer with the Statistics Bureau of the Cabinet Secretariat , There he was given rein by management to continue his research. His breakthrough paper, "On Stochastic Processes", appeared in 1942. In 1943, he
154-416: Is different from Wikidata All article disambiguation pages All disambiguation pages Kiyosi It%C3%B4 Kiyosi Itô ( 伊藤 清 , Itō Kiyoshi , Japanese pronunciation: [itoː kiꜜjoɕi] , 7 September 1915 – 10 November 2008) was a Japanese mathematician who made fundamental contributions to probability theory , in particular, the theory of stochastic processes . He invented
176-561: Is the Itô integral , and among the most important results is a change of variable formula known as Itô's lemma (also known as the Itô formula). Itô also made contributions to the study of diffusion processes on manifolds , known as stochastic differential geometry . 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 . In particular,
198-644: The International Mathematical Union for his lifetime achievements. As he due to his health was unable to travel to Madrid , his youngest daughter, Junko Ito , received the Gauss Prize from King Juan Carlos I on his behalf. Later, IMU President Sir John Macleod Ball personally presented the medal to Itô at a special ceremony held in Kyoto. In October 2008, Itô was honored with Japan's Order of Culture , and an awards ceremony for
220-1368: The Congo Ito District, Wakayama , a district located in Wakayama Prefecture, Japan Itō, Shizuoka People [ edit ] Itō (surname) , for people with the Japanese surname Itō Hiroshi Ito ( 糸 博 , born 1933) , Japanese voice actor Kiyosi Itô (1915–2008), Japanese mathematician Princess Ito (died 861), Japanese imperial princess Ito Giani (1941–2018), Italian sprinter Ito (footballer, born 1961) , full name Andrés Alonso García, Spanish footballer Ito (footballer, born 1975) , full name Antonio Álvarez Pérez, Spanish footballer Ito (footballer, born 1992) , full name Jorge Delgado Fidalgo, Spanish footballer Ito (footballer, born 1994) , full name Mario Manuel de Oliveira, Angolan footballer Ito Ohno ( 大野 いと , born 1995) , Japanese fashion model and actress Ito Smith (born 1995), American football player Ito Curata (1959–2020), Filipino fashion designer Ito Morabito (born 1977), French designer Ito Ogawa (born 1973), Japanese novelist, lyricist, and translator Other uses [ edit ] Ito language , an Ibibio-Efik language of eastern Nigeria Itoh peony ,
242-538: The Imperial University of Tokyo in 1945. These works were published despite the difficulties of life in Japan during World War II , including problems accessing libraries and especially the loss of contact with Western mathematicians and the lack of awareness of results from them. For instance, the only other Japanese mathematician actively interested in Itô's work during the war, Gisiro Maruyama , read
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#1732765618007264-838: The Itô's lemma's best known application is in the derivation of the Black–Scholes equation for option values. Itô's methods are also used in other fields, including biology and physics. His results have been applied to population models , white noise , chemical reactions , and quantum physics , in addition to uses in various mathematical subjects such as differential geometry , partial differential equations , complex analysis , and harmonic analysis and potential theory . Fellow mathematician Daniel W. Stroock noted that "People all over realized that what Ito had done explained things that were unexplainable before." Economist Robert C. Merton stated that Itô's work had provided him "a very useful tool" in his own prize-winning work. Although
286-562: The concept of stochastic integral and stochastic differential equation , and is known as the founder of so-called Itô calculus . He also pioneered the world connections between stochastic calculus and differential geometry, known as stochastic differential geometry . He was invited for the International Congress of Mathematicians in Stockholm in 1962. So much were Itô's results useful to financial mathematics that he
308-534: The 💕 "Itou" redirects here. For the populated place in Senegal, see Itou, Senegal . [REDACTED] Look up ITO , Ito , ito , or -ito in Wiktionary, the free dictionary. Ito, Itō or Itoh may refer to: Places [ edit ] Ito Island , an island of Milne Bay Province, Papua New Guinea Ito Airport , an airport in the Democratic Republic of
330-664: The same term [REDACTED] This disambiguation page lists articles associated with the title Ito . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Ito&oldid=1253905502 " Categories : Disambiguation pages Disambiguation pages with given-name-holder lists Disambiguation pages with surname-holder lists Place name disambiguation pages Japanese-language surnames Japanese feminine given names Hidden categories: Articles containing Japanese-language text Short description
352-549: 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 Western world . Itô was married with three daughters. Itô was born on 7 September 1915 in a farming area located west of Nagoya, Japan , that being the town of Hokusei-cho in Mie Prefecture . He excelled in his studies as
374-443: The title ITO . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=ITO&oldid=1130869384 " Category : Disambiguation pages Hidden categories: Short description is different from Wikidata All article disambiguation pages All disambiguation pages ito From Misplaced Pages,
396-625: The topic. In 1952, he became a professor at the University of Kyoto . His most well-known text, Probability Theory , appeared in 1953. Itô remained affiliated with Kyoto until his retirement in 1979. However, beginning in the 1950s, Itô spent long periods of time away from Japan. He was at the Institute for Advanced Study from 1954 to 1956 while on a Fulbright fellowship ; while there he worked closely with William Feller and Henry McKean who were at nearby Princeton University . He
418-496: Was a different matter, and by his own admission his accent made him largely incomprehensible to Americans. When Itô left Cornell and returned to the University of Kyoto, he served as director of their Research Institute for Mathematical Sciences . After his retirement, he became professor emeritus at Kyoto University. He also had a post-retirement position as a professor at the private Gakushuin University for several years,
440-671: Was a professor at Stanford University from 1961 to 1964 and a professor at Aarhus University from 1966 to 1969. Then in 1969 Itô arrived at Cornell University , where he was a professor of mathematics for six years until 1975. This was his longest stint outside Japan. Among the courses he taught at Cornell was one in Higher Calculus. Itô wrote not only in Japanese but also in Chinese , German , French and English . However, his ability to converse in foreign languages
462-449: Was appointed an assistant professor at Nagoya Imperial University , where he benefited from discussions with the mathematicians Kōsaku Yosida and Shizuo Kakutani . From investigations done during this period he published a series of articles in which he defined the stochastic integral and laid the foundations of the Itō calculus . Meanwhile, he received his Doctor of Science degree from
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#1732765618007484-568: Was sometimes called "the most famous Japanese in Wall Street". Itô was a member of the faculty at University of Kyoto for most of his career and eventually became the director of their Research Institute for Mathematical Sciences . But he also spent multi-year stints at several foreign institutions, the longest of which took place at Cornell University . Itô pioneered the theory of stochastic integration and stochastic differential equations , now known as Itô calculus . Its basic concept
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