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We develop the general formalism for the study of neutrino propagation inpresence of stochastic media. This formalism allows the systematic derivationof evolution equations for averaged quantities as survival probabilities andhigher order distribution moments. The formalism applies equally to any finitedimensional Schroedinger equation in presence of a stochastic external force.New integro-differential equations valid for finite correlated processes areobtained for the first time. For the particular case of exponentiallycorrelated processes a second order ordinary equation is obtained. As aconsequence, the Redfield equation valid for Gaussian delta-correlated noise isrederived in a simple way. The formalism, together with the quantum correlationtheorem is applied to the computation of higher moments and correlationfunctions of practical interest in forthcoming high precision neutrinoexperiments. It is shown that equal and not equal time correlators followsimilar differential equations.Comment: 12 pags., Latex. 1 fig., ps. epsfig macro. minor typo errors  correcte

Finite dimensional systems with random external fields and neutrino propagation in fluctuating media