Short works

Books : reviews

Armin Bunde, Shlomo Havlin, eds.
Fractals in Science.
Springer. 1994

rating : 3.5 : worth reading
review : 16 June 1998

A collection of chapters on some recent applications of fractals, mainly to biology and chemistry.

(Includes a Mac disk of demo software.)


A Brief Introduction to Fractal Geometry. 1994
A whistle-stop tour of fractal dimension, the Koch snowflake, Sierpinski gasket, Cantor dust, Julia sets, random walks, diffusion limited aggregation, and percolation
Per Bak, Michael Creutz. Fractals and Self-Organized Criticality. 1994
An overview of self-organised criticality, and how it is that systems can move themselves into this state. A lot about sand piles.
Sergey V. Buldyrev, Ary L. Goldberger, Shlomo Havlin, C.-K. Peng, H. Eugene Stanley. Fractals in Biology and Medicine: from DNA to the heartbeat. 1994
Recent progress applying fractal concepts to biology and medicine: lung airways, arterial system, cauliflower heads, neuron shape, viscous fingering, bacterial colony spread, information coding in DNA, heartbeats, evolutionary extinctions
Janos Kertesz, Tamas Vicsek. Self-Affine Interfaces. 1994
Self-affine systems (self-similar, but with different scale factors along different directions): roughness of surfaces, growth of surfaces
George H. Weiss. A Primer of Random Walkology. 1994
Brownian motion, diffusion. Random walks on a lattice, continuous-time random walk, random walks in disordered media.
Mohamed Daoud. Polymers. 1994
Linear chains, self avoiding random walks, adsoption
Sidney Redner, Francois Leyvraz. Kinetics and Spatial Organization of Competitive Reactions. 1994
Two species A and B reacting, A+B-->I, where I is inert
David Avnir, Ricardo Gutfraind, Dina Farin. Fractal Analysis in Heterogeneous Chemistry. 1994
The structure and geometry of the reaction environment
Dennis C. Rapaport, Martin Meyer. Computer Exploration of Fractals, Chaos, and Cooperativity. 1994
An overview of the accompanying software