Pattern Analysis

Anecdotal evidence accumulated over many years clearly indicates the existence of such space-time patterns in seismicity data. The exact nature of these patterns, however, has so far eluded identification. As part of the project, computational tools will be developed to analyze the information content of both real and simulated earthquakes using new ideas about of pattern analysis and pattern reconstruction in complex systems. These include methods based upon log-periodic, correlation dimension, and more recent techniques based upon the discrete Karhunen-Loeve expansion (``Pattern Dynamics'').