Coherent phenomena in stochastic dynamical systems

Basic ideas of statistical topography of random processes and fields are pr esented, which are used in the analysis of coherent phenomena in simple dyn amical systems. Such phenomena take place with probability one, and provide links between individual realizations and statistical characteristics of s ystems at large. We confine ourselves to several examples: transfer phenome na in singular dynamic systems under the action of random forces; dynamic l ocalization of plane waves in randomly stratified media; clustering of rand omly advected passive tracers; formation of caustic structures for wave fie lds in randomly inhomogeneous media. All these phenomena are studied based on the analysis of one-point (space-time) probability distribution function s.