Overview

This Mandelbrot Festschrift is about the development and applications of fractal geometry and the concepts of self-similarity. The reader finds out where, how and with what results fractal geometry has been applied. The balance between applications in the physical sciences and mathematics is unique to this book. It contains contributions of well-known physicists, mathematicians, material scientists, biologists, geologists, chemists, economists, astronomers and artists. Among the topics addressed are the universe, bacterial growth, stock prices, automatic sequences, number theory, percolation problems, self-organized criticality, Ising models, Levy stable processes, thermodynamics, signal analysis, catalysis, oil recovery, turbulence and earthquakes.

Full Product Details

Author:   Carl J G Evertsz (Univ Of Bremen, Germany) ,  Heinz-otto Peitgen (Univ Of Bremen, Germany) ,  Richard F Voss (Ibm Thomas J Watson Research Center, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789810224349

ISBN 10:   9810224346
Pages:   524
Publication Date:   04 July 1996
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

The dynamics of fractals, P. Bak and M. Paczuski; cooperative strategies in formation of complex bacterial patterns, E. Ben-Jacob et al; fractals and the universe, P.H. Coleman; quadtrees, Mandelbrot percolation and modelling of random sets, F.M. Dekking; the fractal geometry of the Mandelbrot set 2 - how to count and how to add, R.L. Devaney; deposition problems, S.F. Edwards; mixing and disorder, E. Guyon; the deformation of rocks - fractals everywhere, H.J. Herrmann et al; distribution of structural properties for percolation clusters, J.-P. Hovi and A. Aharony; a continued fraction titbit, M. Keane; scaling properties of the Kuramoto-Sivashinksy equation, J. Li and L.N. Sander; fractals and secondary migration, P. Meakin et al; Mandelbrot's economics after a quarter century, P. Mirowski; theoretical concepts for fractal growth and self-organized criticality, L. Pietronero; fractal aspects in polymer science, H. Schiessel and A. Blumen; Levy flights - chaotic, turbulent and relativistic, M.F. Shlesinger et al; super Brownian motion is a fractal measure for which the multifractal formalism is invalid, S.J. Taylor; and other papers.

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