Mathematician:Aleksandr Yakovlevich Khinchin

Mathematician

Russian mathematician who was an important figure in the field of probability theory.

Nationality

Soviet Russian

History

• Born: 19 July 1894 in Kondrovo, Kaluzhskaya guberniya, Russia
• Died: 18 November 1959 in Moscow, USSR

Theorems and Definitions

• Khinchin's Constant
• Khinchin-Lévy Constant (with Paul Pierre Lévy)

• Khinchin Inequality
• Khinchin's Law, also known as the Weak Law of Large Numbers
• Khinchin's Theorem on Diophantine Approximations

• Lévy-Khintchin Formula of Characteristic Function of Lévy Process (with Paul Pierre Lévy)
• Pollaczek-Khinchine Formula (with Félix Pollaczek)
• Wiener-Khinchin Theorem (with Norbert Wiener)

• Equidistribution Theorem
• Law of the Iterated Logarithm

Results named for Aleksandr Yakovlevich Khinchin can be found here.

Definitions of concepts named for Aleksandr Yakovlevich Khinchin can be found here.

Publications

• 1927: Recherches sur la structure des fonctions mesurables
• 1927: Basic laws of probability theory
• 1929: Sur la Loi des Grandes Nombres
• 1933: Asymptotische Gesetze der Wahrscheinlichkeitsrechnung
• 1933: Gram determinants for stationary series (with Alexander Osipovich Gelfond)
• 1936: Continued Fractions (2nd ed. 1949)
• 1943: Eight lectures on mathematical analysis
• 1943: Mathematical Principles of Statistical Mechanics
• 1947: Three Pearls of Number Theory
• 1951: Mathematical Foundations of Quantum Statistics
• 1962: An elementary introduction to the theory of probability (with Boris Vladimirovich Gnedenko)

Also known as

In Russian: Алекса́ндр Я́ковлевич Хи́нчин.

Rendered in French as Alexandre Khintchine.

Sources

• John J. O'Connor and Edmund F. Robertson: "Aleksandr Yakovlevich Khinchin": MacTutor History of Mathematics archive