Investigation of Large Earthquakes as Critical Phase Transitions

Abstract:

In this work we present some of our results from investigating earthquakes sequences, which include very large earthquakes, using different stochastic and deterministic critical phenomena models. With the objective to estimate magnitude and origin time of large earthquakes based on the preceding seismicity, we investigate the use of several modeling techniques, including: The Levy flight, Scale-Invariant functions, and the Ising models. We also developed a stochastic differential equation arising on the superposition of independent Ornstein-Uhlenbeck processes driven by a Gamma (a,b) process. Here we summarize some of the results of applying these techniques for modeling earthquakes sequences in different tectonic regions.