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Kiyoshi Ito died last week
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Bastian Gross
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A chorypheus died
Kiyosi Itô has made great contributions to the advancement of the mathematical sciences by laying the foundations of the theory of stochastic differential equations and of stochastic integration in 1942. He has also played a leading role in the subsequent development of these areas into a core chapter in modern probability theory, known as stochastic analysis.
Since the early 1950s the theory of stochastic differential equations has been gaining new perspectives through interactions with various branches of mathematics, including partial differential equations, potential theory, harmonic integrals, differential geometry, and harmonic analysis. However, this theory has wound up reaching far beyond the confines of mathematics. Itô’s theory of stochastic differential equations and the corresponding extension of classical calculus to highly irregular curves such as Brownian motion paths, now known as the "Itô calculus", are indispensable tools in analyzing random phenomena in fields as diverse as physics, biology, economics, and engineering.
The research on filtering initiated by R. Kalman could not have developed to its current stage without stochastic differential equations. In mathematical finance, in particular, in the research of F. Black, R. Merton and M. Scholes, for which Merton and Scholes received the 1997 Nobel Prize in Economics, stochastic differential equations and "Itô's formula" play crucial roles.
Itô has made significant contributions to many other topics as well, such as the Wiener- Itô chaos decomposition, one-dimensional diffusion processes, excursion theory for Markov processes, and infinite-dimensional diffusion processes. Itô’s work in stochastic analysis, along with the central role he has played in its subsequent development, typifies the twentieth-century mathematical sciences — having mathematical depth and strong interaction with a wide range of areas.
Itô was elected as a member of the Japan Academy of Sciences in 1991 and as a foreign member of the Académie des Sciences of France in 1989 and of the US Academy of Sciences in 1998. He has received many prizes which include the Japan Academy Prize (1978), the Wolf Prize (1987) and the Kyoto Prize (1998). He is also the recipient of the first Carl Friedrich Gauss Prize, awarded at the International Congress of Mathematicians at Madrid in 2006. He has also been conferred honorary degrees by Université Paris VI (1981), ETH Zürich (1987), and the University of Warwick (1992). (NUS)
Mathematics Genealogy Project
Kiyosi Itô has made great contributions to the advancement of the mathematical sciences by laying the foundations of the theory of stochastic differential equations and of stochastic integration in 1942. He has also played a leading role in the subsequent development of these areas into a core chapter in modern probability theory, known as stochastic analysis.
Since the early 1950s the theory of stochastic differential equations has been gaining new perspectives through interactions with various branches of mathematics, including partial differential equations, potential theory, harmonic integrals, differential geometry, and harmonic analysis. However, this theory has wound up reaching far beyond the confines of mathematics. Itô’s theory of stochastic differential equations and the corresponding extension of classical calculus to highly irregular curves such as Brownian motion paths, now known as the "Itô calculus", are indispensable tools in analyzing random phenomena in fields as diverse as physics, biology, economics, and engineering.
The research on filtering initiated by R. Kalman could not have developed to its current stage without stochastic differential equations. In mathematical finance, in particular, in the research of F. Black, R. Merton and M. Scholes, for which Merton and Scholes received the 1997 Nobel Prize in Economics, stochastic differential equations and "Itô's formula" play crucial roles.
Itô has made significant contributions to many other topics as well, such as the Wiener- Itô chaos decomposition, one-dimensional diffusion processes, excursion theory for Markov processes, and infinite-dimensional diffusion processes. Itô’s work in stochastic analysis, along with the central role he has played in its subsequent development, typifies the twentieth-century mathematical sciences — having mathematical depth and strong interaction with a wide range of areas.
Itô was elected as a member of the Japan Academy of Sciences in 1991 and as a foreign member of the Académie des Sciences of France in 1989 and of the US Academy of Sciences in 1998. He has received many prizes which include the Japan Academy Prize (1978), the Wolf Prize (1987) and the Kyoto Prize (1998). He is also the recipient of the first Carl Friedrich Gauss Prize, awarded at the International Congress of Mathematicians at Madrid in 2006. He has also been conferred honorary degrees by Université Paris VI (1981), ETH Zürich (1987), and the University of Warwick (1992). (NUS)
Mathematics Genealogy Project
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