- Aleksandr Khinchin
Aleksandr Yakovlevich Khinchin (Russian Алекса́ндр Я́ковлевич Хи́нчин, French Alexandre Khintchine) (
July 19 ,1894 –November 18 ,1959 ) was a Russianmathematician and one of the most significant people in the Soviet school ofprobability theory . He was born in the village ofKondrovo , Kaluga Governorate,Russia . While studying atMoscow State University , he became one of the first followers of the famous Luzin school. Khinchin graduated from the university in 1916 and six years later he became a full professor there, retaining that position until his death.Khinchin's early works focused on
real analysis . Later he applied methods from the metric theory of functions to problems in probability theory andnumber theory . He became one of the founders of modern probability theory, discovering thelaw of the iterated logarithm in 1924, achieving important results in the field oflimit theorem s, giving a definition of astationary process and laying a foundation for the theory of such processes. Khinchin made significant contributions to the metric theory ofDiophantine approximation s and established an important result for simple realcontinued fraction s, discovering the property now known asKhinchin's constant . He also published several important works onstatistical physics , where he used the methods of probability theory, and oninformation theory ,queuing theory andmathematical analysis .In 1939 Khinchin was elected as a Correspondent Member of the Academy of Sciences of the USSR. He was awarded the
USSR State Prize (1941), theOrder of Lenin , three other orders, and medals.ee also
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Pollaczek-Khinchine formula
*Wiener–Khinchin theorem
*Khinchin's constant
*Khinchin inequality
*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 0-486-69630-8 (first published in Moscow, 1935)
* "Three Pearls of Number Theory", Mineola, NY : Dover Publications, 1998, ISBN 0-486-40026-3 (first published inMoscow and Leningrad, 1947)
* "Mathematical Foundations of Quantum Statistics", Mineola, N.Y. : Dover Publications, 1998, ISBN 0-486-40025-5 (first published in Moscow and Leningrad, 1951)External links
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