X-Nico

unusual facts about Kolmogorov-Sinai entropy



Earth's orbit

Mathematicians and astronomers (such as Laplace, Lagrange, Gauss, Poincaré, Kolmogorov, Vladimir Arnold, and Jürgen Moser) have searched for evidence for the stability of the planetary motions, and this quest led to many mathematical developments, and several successive 'proofs' of stability for the solar system.

Karatsuba algorithm

In 1960, Kolmogorov organized a seminar on mathematical problems in cybernetics at the Moscow State University, where he stated the \Omega(n^2)\,\!

Kolmogorov–Smirnov test

In the special case of testing for normality of the distribution, samples are standardized and compared with a standard normal distribution.

This result may also be known as the Kolmogorov theorem; see Kolmogorov's theorem for disambiguation.

Predictability

Their predictability usually deteriorates with time and to quantify predictability, the rate of divergence of system trajectories in phase space can be measured (Kolmogorov-Sinai entropy, Lyapunov exponents).


see also