-
Aleksandr Yakovlevich Khinchin (Russian: Алекса́ндр Я́ковлевич Хи́нчин, French:
Alexandre Khintchine; July 19, 1894 –
November 18, 1959) was a
Soviet mathematician...
- mathematics, the Wiener–
Khinchin theorem or Wiener–Khintchine theorem, also
known as the Wiener–
Khinchin–Einstein
theorem or the
Khinchin–Kolmogorov theorem...
- In
number theory,
Aleksandr Yakovlevich Khinchin proved that for
almost all real
numbers x,
coefficients ai of the
continued fraction expansion of x have...
- In mathematics, the
Khinchin integral (sometimes
spelled Khintchine integral), also
known as the Denjoy–
Khinchin integral,
generalized Denjoy integral...
- by
Aleksandr Khinchin,
though the
German term had been used
earlier in 1931 by
Andrey Kolmogorov. In the
early 1930s,
Aleksandr Khinchin gave the first...
-
generalization of
Khinchin's result, and
posed what is now
known as the Duffin–Schaeffer
conjecture on the
analogue of
Khinchin's dichotomy for general...
- Birkhoff's
theorem is Kingman's
subadditive ergodic theorem. Birkhoff–
Khinchin theorem. Let ƒ be measurable, E(|ƒ|) < ∞, and T be a measure-preserving...
- In
mathematics Lévy's
constant (sometimes
known as the
Khinchin–Lévy constant)
occurs in an
expression for the
asymptotic behaviour of the denominators...
-
Khinchin's theorem may
refer to any of
several different results by
Aleksandr Khinchin: Wiener–
Khinchin theorem Khinchin's constant Khinchin's theorem...
-
original statement of the law of the
iterated logarithm is due to A. Ya.
Khinchin (1924).
Another statement was
given by A. N.
Kolmogorov in 1929. Let {Yn}...
