Probability distribution

Results of analytical consideration of the probability distribution density for Brown particle, subject to weak influence of the external force conditioned by a cosmic particle flow. It is shown that this influence, which is time­dependent, results in essential non­stationarity of the probability distribution, i.e. it becomes a sum of components caused by different astronomical factors: Earth revolution about inherent axes and the Sun, the motion of the Sun and stars and so on.

The influence of slow processes (random or regular) on the probability distribution of fast random processes is considered. We show that such influence is universal for all random processes, and in some cases this universality is of the multifractal character. As an example we consider stochastic resonance.