Aleksandr Yakovlevich Khinchin
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Aleksandr Yakovlevich Khinchin (Russian Александр Яковлевич Хинчин) (July 19,1894 – November 18, 1959) was a Russian mathematician, who was one of the most significant people in the Soviet school of probability theory. He was born in village Kondrovo, Kaluga Governorate, Russia. Studying at Moscow State University, he became one of the first followers of the famous Luzin's school. In 1916 Khinchin graduated from the university and six years later became a full professor there, keeping that position until his death.
Khinchin's early works focused on real analysis. Later he used methods of the metric theory of functions in probability theory and number theory. He became one of the founders of the modern probability theory, discovering law of the iterated logarithm in 1924, achieving important results in the field of limit theorems, giving a definition of a stationary process and laying a foundation for the theory of such processes. In number theory Khinchin made significant contributions to the metric theory of Diophantine approximations and established an important result for real continued fractions, discovering their property, known as Khinchin's constant. He also published several important works on statistical physics, where he used methods of probability theory, on information theory, queuing theory and mathematical analysis.
In 1939 Khinchin was elected as a Correspondent Member of the Academy of Sciences of USSR. He was awarded the USSR State Prize (1941), Order of Lenin, three other orders and medals.
See also
- Khinchin's theorem
- Wiener–Khinchin theorem
- Khinchin–Lévy constant
- Equidistribution theorem
- Continued fraction
Bibliography
- Sur la Loi des Grandes Nombres, in Comptes Rendus de l'Academie des Sciences, Paris, 1929
- Continued Fractions, Mineola, N.Y. : Dover Publications, 1997, ISBN 0486696308 (first published in Moscow, 1935)
- Three Pearls of Number Theory, Mineola, NY : Dover Publications, 1998, ISBN 0486400263 (first published in Moscow and Leningrad, 1947)
- Mathematical Foundations of Quantum Statistics, Mineola, N.Y. : Dover Publications, 1998, ISBN 0486400255 (first published in Moscow and Leningrad, 1951)
External links
- [] at the Mathematics Genealogy Project
- John J. O'Connor and Edmund F. Robertson. [] at the MacTutor History of Mathematics archive.
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