Random irreversible phenomena: entropy in subordination

Having been motivated by the processing of astrophysical data, we formulate a stochastic model of transmitting random information. It may be assumed that the information source is taken to be white noise, while the observed data are viewed as sample functions of a stable process. Thus our model of the system of the transmitting signal is realized by the so-called Bochner theory of subordination. As a characteristic of this phenomena we observe the loss of entropy.