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The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers

- A. Kolmogorov
- MathematicsProceedings of the Royal Society of London…
- 8 July 1991

§1. We shall denote by uα(P) = uα (x1, x2, x3, t), α = 1, 2, 3, the components of velocity at the moment t at the point with rectangular cartesian coordinates x1, x2, x3. In considering the… Expand

Dissipation of energy in the locally isotropic turbulence

- A. Kolmogorov
- GeologyProceedings of the Royal Society of London…
- 1 April 1941

In my note (Kolmogorov 1941a) I defined the notion of local isotropy and introduced the quantities Bdd(r)=[ud(M′)−ud(M)]2,¯[un(M′)−un(M)¯]2, where r denotes the distance between the points M and M',… Expand

A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number

- A. Kolmogorov
- PhysicsJournal of Fluid Mechanics
- 1 May 1962

The hypotheses concerning the local structure of turbulence at high Reynolds number, developed in the years 1939-41 by myself and Oboukhov (Kolmogorov 1941 a,b,c; Oboukhov 1941 a,b) were based… Expand

Foundations of the theory of probability

- A. Kolmogorov
- Geology, Mathematics
- 1 June 1960

Theories of ProbabilityFoundations of Probabilistic Logic ProgrammingGood ThinkingStatistical Foundations of Data ScienceFoundations of Risk AnalysisFoundations of Estimation TheoryThe Foundations of… Expand

Entropy and "-capacity of sets in func-tional spaces

- A. Kolmogorov, V. Tikhomirov
- Mathematics
- 1961

The article is mainly devoted to the systematic exposition of results that were published in the years 1954–1958 by K. I. Babenko [1], A. G. Vitushkin [2,3], V. D. Yerokhin [4], A. N. Kolmogorov… Expand

Logical basis for information theory and probability theory

- A. Kolmogorov
- Computer ScienceIEEE Trans. Inf. Theory
- 1 September 1968

TLDR

On the Shannon theory of information transmission in the case of continuous signals

- A. Kolmogorov
- Computer ScienceIRE Trans. Inf. Theory
- 1 December 1956

In addition to the scheduled program, the following two papers, by A. N. Kolmogorov and V. I. Siforov, were presented at the 1956 Symposium on Information Theory. However, the manuscripts were… Expand

A study of the equation of diffusion with increase in the quantity of matter, and its application to a biological problem

- A. Kolmogorov
- Mathematics
- 1937

On Strong Mixing Conditions for Stationary Gaussian Processes

- A. Kolmogorov, Y. Rozanov
- Mathematics
- 1960

This paper considers conditions, which guarantee strong mixing of stationary random Gaussian process $\xi (t)$. It is proved, for example, that if the spectral density $f(\lambda )$ of the process… Expand

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