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Fractals’ Physical Origin and Properties

Editors: Pietronero, Luciano (Ed.)

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About this book

This volume contains the Proceedings of the Special Seminar on: FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre for Scientific Culture, Erice (Trapani), Italy. The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of critical properites of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Seminar was to provide an overview of the recent developments in the field. Most of the contributions are theoretical, but some experimental work is also included. Du:cing the past few years two tendencies have emerged in this field: one is to realize that many phenomena can be naturally modelled by fractal structures. So one can use this concept to define simple modele and study their physical properties. The second point of view is more microscopic and tries to answer the question: why nature gives rise to fractal structures. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions.

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From Book News, Inc.
Proceedings of the Special Seminar on Fractals, held October 1988, in Erice, Italy. Most of the contributions are theoretical, but some experimental work is also included. They discuss multifractals and turbulence, fractal properties of critical fluctuations and polymers, general features of fractal growth models, the application of those models to physical phenomena, diffusion and vibrations on fractals, diffusion fronts and invasion percolation, random surfaces, and large scale distribution of matter in the universe.
Annotation copyright Book News, Inc. Portland, Or.


Table of contents (22 chapters)

Table of contents (22 chapters)
  • A Class of Multinomial Multifractal Measures with Negative (Latent) Values for the “Dimension” f(α)

    Pages 3-29

    Mandelbrot, Benoit B.

  • Some Aspects of the Fractal Approach to the Fully Developed Turbulence

    Pages 31-47

    Vulpiani, Angelo

  • Nonlinear Variability in Geophysics: Multifractal Simulations and Analysis

    Pages 49-79

    Schertzer, Daniel (et al.)

  • Fractal Critical Phenomena in Two Dimensions and Conformal Invariance

    Pages 83-121

    Duplantier, Bertrand

  • Fractal Structure of Ising and Potts Clusters: Static and Dynamic Approach

    Pages 123-133

    Coniglio, Antonio

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-1-4899-3499-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-0-306-43413-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $149.99
price for USA in USD
  • ISBN 978-1-4899-3501-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fractals’ Physical Origin and Properties
Editors
  • Luciano Pietronero
Copyright
1989
Publisher
Springer US
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4899-3499-4
DOI
10.1007/978-1-4899-3499-4
Hardcover ISBN
978-0-306-43413-6
Softcover ISBN
978-1-4899-3501-4
Edition Number
1
Number of Pages
VIII, 370
Topics

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