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Aleksandr Yakovlevich Khinchin




Aleksandr Yakovlevich Khinchin ( 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 Theorem s, 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 Approximation s and established an important result for real Continued Fraction s, 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.

He died in Moscow , USSR .


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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)



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