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  Encyclopedia of Keywords > Glossaries > Glossary of Equations > Chapman-Kolmogorov Equation /   Michael Charnine

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  1. A Chapman-Kolmogorov equation is a necessary but not sufficient condition for a Markov process.

Chapman-Kolmogorov Equation

  1. A conditional probability with initial state memory is not guaranteed to obey a Chapman-Kolmogorov equation and usually doesn't.
  2. When the stochastic process under consideration is Markovian, the Chapman-Kolmogorov equation is equivalent to an identity on transition densities.


  1. Using fractional integrals, we derive the fractional generalization of the Chapman-Kolmogorov equation (Smolukhovski equation).
  2. In this paper fractional Fokker-Planck equation for fractal media is derived from the fractional Chapman-Kolmogorov equation.
  3. Books about "Chapman-Kolmogorov Equation" in

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  Originally created: May 21, 2008.
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