This monograph set presents a consistent and self-contained
framework of stochastic dynamic systems with maximal possible
completeness. Volume 1 presents the basic concepts, exact results,
and asymptotic approximations of the theory of stochastic equations
on the basis of the developed functional approach. This approach
offers a possibility of both obtaining exact solutions to
stochastic problems for a number of models of fluctuating
parameters and constructing various asymptotic buildings. Ideas of
statistical topography are used to discuss general issues of
generating coherent structures from chaos with probability one,
i.e., almost in every individual realization of random parameters.
The general theory is illustrated with certain problems and
applications of stochastic mathematical physics in various fields
such as mechanics, hydrodynamics, magnetohydrodynamics, acoustics,
optics, and radiophysics.
General
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