Fractals (Physics of Solids and Liquids)

Rating:
Summary: Random fractals
Review: From the standpoint of deterministic dynamics and multifractals defined by a generating partition, I do not like this book. However, for affine fractals and methods like R/S analysis it provides a very nice introduction! Like Hull's book on options, stochastic calculus is unfortunately not formulated using Ito calculus. Also nice, the gambler's ruin is presented as an example of affine scaling. What is missing is an introductory discussion of multiaffine scaling, which is of interest for soft turbulence in fluids (an introduction to multiaffine scaling with simple examples can be found in the book on surface fluctuations by Barabasi and Stanley).