Anatoliy Skorokhod

Anatoliy Volodymyrovych Skorokhod (Ukrainian: Анато́лій Володи́мирович Скорохо́д; September 10, 1930 – January 3, 2011)^[1] was a Soviet and Ukrainian mathematician.

Anatoliy Volodymyrovych Skorokhod
Born	September 10, 1930 Nikopol, USSR (now Dnipropetrovsk Oblast, Ukraine)
Died	January 3, 2011(2011-01-03) (aged 80) Lansing, Michigan, US
Nationality	Ukrainian
Alma mater	Kyiv University, Moscow State University
Known for	Skorokhod integral, Skorokhod's embedding theorem, Skorokhod's representation theorem, Skorokhod space, Skorokhod problem
Scientific career
Fields	Mathematics, Stochastic differential equation, Markovian processes
Institutions	Michigan State University
Academic advisors	Eugene Dynkin

Skorokhod is well-known for his comprehensive treatise on the theory of stochastic processes which he co-authored with Gikhman.^[2][3][4]

Career

Skorokhod worked at Kyiv University from 1956 to 1964. He was subsequently at the Institute of Mathematics of the National Academy of Sciences of Ukraine from 1964 until 2002. Since 1993, he had been a professor at Michigan State University in the US, and a member of the American Academy of Arts and Sciences.^[5]

He was an academician of the National Academy of Sciences of Ukraine from 1985 up to his death in 2011.^[6][7]

His scientific works are on the theory of:

• stochastic differential equations,
• limit theorems of random processes,
• distributions in infinite-dimensional spaces,
• statistics of random processes and Markov processes.

Skorokhod authored over 450 scientific works, including more than 40 monographs and books.

Many terms and concepts have his name, specifically:

• Skorokhod space (Skorokhod space)
• Skorokhod integral
• Skorokhod problem
• Skorokhod's embedding theorem
• Skorokhod's representation theorem

Selected works

• with I. I. Gikhman: Introduction to the theory of random processes, W. B. Saunders 1969,^[8] Dover 1996
• with I. I. Gikhman: Stochastic Differential Equations,^[9] Springer Verlag 1972
• with I. I. Gikhman: Controlled stochastic processes,^[10] Springer Verlag 1979
• with I. I. Gikhman: The Theory of Stochastic Processes,^[2][3][4] Springer Verlag, 3 vols., 2004–2007
• Random processes with independent increments, Kluwer 1991
• Asymptotic methods in the theory of stochastic differential equations , American Mathematical Society 1989
• Random linear operators, Reidel 1984
• Studies in the theory of random processes, Dover 1982^[11]
• Stochastic equations for complex systems, Reidel/Kluwer 1988 ISBN 90-277-2408-3^[12]
• Stochastische Differentialgleichungen, Berlin, Akademie Verlag 1971
• Integration in Hilbert Space, Springer Verlag 1974^[13]
• with Yu. V. Prokhorov: Basic principles and applications of probability theory, Springer Verlag 2005
• with Frank C. Hoppensteadt, Habib Salehi: Random perturbation methods with applications in science and engineering, Springer Verlag 2002

See also

• List of Ukrainian mathematicians