When the complete understanding of a complex system is not available, as, eg, for systems
considered in the real world, we need a top-down approach to complexity. In this approach …

We present an open-source package that helps the user to perform a basic statistical
analysis of a given turbulence dataset. We believe that this package is useful to the entire …

Complex systems often involve random fluctuations for which self-similar properties in space
and time play an important role. Fractional Brownian motions, characterized by a single …

We compare different approaches towards an effective description of multiscale velocity field
correlations in turbulence. Predictions made by the operator-product expansion, the so …

We derive a hierarchy of evolution equations for multi-point probability density functions in
magneto-hydrodynamic (MHD) turbulence. We discuss the relation to the moment hierarchy …

We present a generalized picture of intermittency in turbulence that is based on the theory of
stochastic processes. To this end, we rely on the experimentally and numerically verified …

The past decades of turbulence research have seen considerable advances in our
understanding of the problem of fluid turbulence: Ever-increasing computational power led …

The hierarchies of equations for a general multi-point probability density function (PDF) and
its characteristic function (CF) are derived for compressible turbulent flows, obeying the ideal …

Lagrangian stochastic turbulence models offer a uniquely rich and intuitive framework for
dealing with turbulence. By directly describing turbulent transport they capture the essential …

Brenier's concept–a representation of solutions to the equations of ideal incompressible
fluids in terms of probability measures on the set of Lagrangian trajectories in the case of …