• distinct equations: the Kolmogorov forward equation for continuous processes, now understood to be identical to the Fokker–Planck equation, the Kolmogorov forward...
    9 KB (1,438 words) - 22:49, 6 May 2025
  • Markovian stochastic processes in probability theory, the Chapman–Kolmogorov equation (CKE) is an identity relating the joint probability distributions...
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  • Thumbnail for Andrey Kolmogorov
    are named in Kolmogorov's honour: Fisher–Kolmogorov equation Johnson–Mehl–Avrami–Kolmogorov equation Kolmogorov axioms Kolmogorov equations (also known...
    31 KB (2,791 words) - 14:25, 26 March 2025
  • Thumbnail for KPP–Fisher equation
    equation (named after Ronald Fisher , Andrey Kolmogorov, Ivan Petrovsky, and Nikolai Piskunov) also known as the Fisher equation, Fisher–KPP equation...
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  • Thumbnail for Avrami equation
    equation is also known as the Johnson–Mehl–Avrami–Kolmogorov (JMAK) equation. The equation was first derived by Johnson, Mehl, Avrami and Kolmogorov (in...
    14 KB (2,031 words) - 05:57, 9 October 2024
  • The Kolmogorov backward equation (KBE) and its adjoint, the Kolmogorov forward equation, are partial differential equations (PDE) that arise in the theory...
    9 KB (2,144 words) - 02:33, 7 May 2025
  • Kolmogorov forward equations may refer to: Kolmogorov equations (Markov jump process), relating to discrete processes Fokker–Planck equation, relating...
    202 bytes (55 words) - 14:22, 17 August 2017
  • Thumbnail for Fokker–Planck equation
    equations Boltzmann equation Convection–diffusion equation Klein–Kramers equation Kolmogorov backward equation Kolmogorov equation Langevin equation Master...
    35 KB (6,500 words) - 07:07, 5 June 2025
  • Lotka–Volterra system of equations is an example of a Kolmogorov population model (not to be confused with the better known Kolmogorov equations), which is a more...
    34 KB (4,494 words) - 18:22, 12 June 2025
  • Thumbnail for Cepstrum
    multiples of the fundamental frequency. The kepstrum, which stands for "Kolmogorov-equation power-series time response", is similar to the cepstrum and has the...
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  • states is determined by a transition rate matrix. The equations are a set of differential equations – over time – of the probabilities that the system occupies...
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  • Thumbnail for Kolmogorov population model
    In biomathematics, the Kolmogorov population model, also known as the Kolmogorov equations in population dynamics, is a mathematical framework developed...
    5 KB (586 words) - 11:35, 16 April 2025
  • Thumbnail for Kolmogorov–Smirnov test
    In statistics, the Kolmogorov–Smirnov test (also K–S test or KS test) is a nonparametric test of the equality of continuous (or discontinuous, see Section...
    31 KB (3,909 words) - 09:43, 9 May 2025
  • Thumbnail for Ornstein–Uhlenbeck process
    Ornstein–Uhlenbeck process (category Stochastic differential equations)
    for the Ornstein–Uhlenbeck process and similar stochastic differential equations by tacitly assuming that the noise term is a derivative of a differentiable...
    30 KB (4,639 words) - 11:09, 29 May 2025
  • Kolmogorov's zero–one law Chapman–Kolmogorov equations Kolmogorov inequalities Kolmogorov's inequality Kolmogorov's inequality for positive submartingales...
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  • Thumbnail for Stochastic process
    Chapman–Kolmogorov equation, in a less mathematically rigorous way than Kolmogorov, while studying Brownian movement. The differential equations are now...
    168 KB (18,657 words) - 20:31, 17 May 2025
  • Thumbnail for Probability axioms
    foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. These axioms remain central and have direct contributions to...
    11 KB (1,619 words) - 04:30, 19 April 2025
  • This is a list of equations, by Wikipedia page under appropriate bands of their field. The following equations are named after researchers who discovered...
    5 KB (103 words) - 09:21, 8 August 2024
  • Thumbnail for Markov chain
    Chapman–Kolmogorov equation, in a less mathematically rigorous way than Kolmogorov, while studying Brownian movement. The differential equations are now...
    96 KB (12,900 words) - 11:52, 1 June 2025
  • generalization of Kolmogorov-Arnold representation known as Kolmogorov-Arnold network in continuous form is a chain of Urysohn equations, where outer equation also...
    25 KB (3,963 words) - 21:03, 6 June 2025
  • p(x\mid m)=\exp(V(x))} that is the solution to the appropriate forward Kolmogorov equations. In contrast, optimal control optimises the flow, given a cost function...
    53 KB (6,415 words) - 09:10, 17 June 2025
  • Thumbnail for Vladimir Arnold
    2010) was a Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and...
    54 KB (5,334 words) - 23:56, 16 June 2025
  • Thumbnail for Kolmogorov complexity
    information theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is the length of a shortest...
    59 KB (7,776 words) - 10:49, 13 June 2025
  • mathematics, the Kolmogorov extension theorem (also known as Kolmogorov existence theorem, the Kolmogorov consistency theorem or the Daniell-Kolmogorov theorem)...
    10 KB (1,824 words) - 20:59, 14 April 2025
  • proceed by jumps, today known as Kolmogorov equations (Markov jump process) (a simplified version is known as master equation in the natural sciences). It...
    22 KB (3,119 words) - 21:54, 23 January 2025
  • system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of equations. Deterministic system...
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  • Thumbnail for Sydney Chapman (mathematician)
    the Russian Andrey Kolmogorov independently developed the pivotal set of equations in the field, the Chapman–Kolmogorov equations. Chapman is credited...
    16 KB (1,465 words) - 05:57, 9 April 2025
  • 0}} ), via the following theorem. Existence of solution to Kolmogorov backward equations ()—There exists P ∈ ( [ 0 , 1 ] S × S ) T {\displaystyle P\in...
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  • Thumbnail for Markov property
    context of Bayesian statistics. Causal Markov condition Chapman–Kolmogorov equation Hysteresis Markov blanket Markov chain Markov decision process Markov...
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  • Thumbnail for Reaction–diffusion system
    _{x}^{2}u+R(u),} is also referred to as the Kolmogorov–Petrovsky–Piskunov equation. If the reaction term vanishes, then the equation represents a pure diffusion process...
    29 KB (3,606 words) - 12:03, 27 February 2025