DZIEWICE TO SPECJAł, niedziewie-pełno tego lata,

In order to address this question, we use the simplest possible model which combines these four laws, framed as a stochastic point process of past earthquakes triggering future earthquakes: the Omori law (ii) is taken to describe the conditional rate of activation of new earthquakes, given all past earthquakes; the Gutenberg-Richter law (i) describes the distribution according to which the magnitude of a new earthquake is independently determined; the productivity law (iii) gives the weight of the contribution of a given past earthquake in the production of new earthquakes. In order to take into account the fractal geometry of earthquake catalogs, the new earthquakes can be positioned on a fractal geometry. The elements (i-iii) actually constitute the basic building block of the benchmark model of seismicity,