Interpretation and Uses of Fractal Dimensions in Modelling Earthquake Data

Tuesday, June 11, 2002 - 11:00am - 11:50am
Keller 3-180
David Harte (Statistics Research Associates Limited)
One often sees the statement that an observed process is fractal' or multifractal. What does this mean in the context of point process and time series data? Specifically, what aspects of the process are fractal? Do such concepts help us to better understand the fracturing process, and consequently provide better models for earthquake genesis?

I will attempt to give a brief review of the Rényi dimensions which are often used by physicists in the study of dynamical systems. However, they have a wider applicability than just dynamical systems and can also describe certain aspects of point process models. I will also describe various fractal characteristics of time series data, and attempt to outline how both might be used in the earthquake context.