Measured stochastic processes for turbulence and nonlinear dynamics

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

For the characterization of complex structures we present an approach which is based on the theory of stochastic Markov processes. With this analysis we achieve a characterization of the systems whose complexity may be based on nonlinear noisy dynamics or multiscale features like multifractal scaling. We show how based on the estimations of Kramers-Moyal coefficients it is possible to reconstruct from pure, parameter free data analysis the Planck or a Langevin equation.

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