Stochastic Processes

Marco Bianucci and Silvia Merlino begin Chapter One by focusing on the Ocean-Atmosphere system in an effort to show how to get a Generalized Fokker Planck Equation by describing the statistics of a point of interest within the large, complex system. Next, Mikhail Moklyachuk and Maria Sidei examine results of an investigation in which the problem of mean square optimal estimation of linear functionals dependent on unknown values of a homogeneous and isotropic unit was examined. Afterwards, Chapter Three by F Guillois, N Petrova, O Soulard, R Duclous and V Sabelnikov outlines the Eulerian (Field) Monte Carlo Method (EMC) for solving the joint velocity-scalar PDF transport equation in turbulent reactive flows. In Chapter Four, Rabha W. Ibrahim introduce a new fractional differential-difference process based on different types of fractional calculus.