The reader who is not mathematically and analytically inclined may skip most of this chapter, in which we take a brief look into the mathematical analytical theory of the punctuated equilibrium model, except for the final section, which points out an insightful analogy between evolution and earthquakes. It is important not to skip this section because the main point of this book is to prepare the ground for, and to develop, relevant analytical insight into the behavior of the model, and hence into the underlying physical processes. The main reason for dealing with grossly oversimplified toy models is that we can study them not only with computer simulations but also with mathematical methods. This puts our results on a firmer ground, so that we are not confined to general grandiose, philosophical claims.
KeywordsFault Plane Fringe Benefit Nature Work Avalanche Size Landau Institute
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