Self-Organized Criticality in Earth Systems

• Fractals - Fractal distributions Is the Earth's Surface Fractal?- Recognizing Power-Law Distributions - Do Cumulative Size Distributions Tell the Truth? - Binning - Censoring.- Self-Affine Time Series - Brownian Motion - Persistence, Stationarity, and Predictability.- Deterministic Chaos - Linear and Non-Linear Systems - Limit Sysles and Strange Attractors.- Self-Organized Criticality - Critical-Point Phenomena - Universality.- Earthquakes and Stick-Slip Motion - The Fractal Character of Earthquakes - Efficient Simulation of the OFC Model.- Landslides - Triggering Mechanisms and Driving Forces - On Predicting Slope Stability.- Drainage Networks - Fractal Properties of Drainage Networks - Optimization by Permanent Reorganization?- Where do we stand? - Some Fractal Size Distributions - Tools for Data Analysis - The Lorenz Equations - Numerics of Ordinary Differential Equations.

From the reviews: "The book by S. Hergarten gives a comprehensive overview on two recently developed approaches in the study of natural phenomenon, namely fractals and SOC. Positive about this book ... is that focuses on geological examples, but it still gives the necessary theoretical background. Hence, the book can be read by geologists as a first contact with the theory of fractals and SOC. Another advantage is that the author looks at these new theories in a self-critical way ... ." (Andre Vervoort, Geologica Belgica, Vol. 7 (3-4), 2004)