Vendredi 3 juillet 2026 à 11h00 ; salle des séminaires IRPHE
Abstract: Earthquakes in nature follow several statistical properties. In particular, the distribution of energy released by an earthquake (Gutenberg-Richter's law) and the frequency of aftershocks after a large event (Omori's law) are both power-laws.
By studying several earthquake models, we show that these properties result from the spatial distribution of the stress field. This field can be described as a random curve for one-dimensional models and a random surface for two-dimensional models. Using this analogy, a series of predictions is made that includes the Gutenberg-Richter law, the b-value, and, for two-dimensional models, the existence of aftershocks and their temporal distribution following Omori's law.