Statistical analysis of seismic processes on the basis of the diffusion approach

On the basis of the diffusion approach, statistical analysis of seismicity is carried out in order to reveal the peculiarities characteristic of random walk processes. In accordance with the hypothesis on connectivity of earthquakes and energetic criterion, the expansion of the seismic process into a set of sequences is made; each sequence is a Brownian process with specific spatial, temporal, and energetic scales. The statistical distributions of sequences by the number of links, total energies, distances, time, and flight velocities between events are built.