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Fractals’ Physical Origin and Properties

  • Luciano Pietronero

Part of the Ettore Majorana International Science Series book series (EMISS)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Multifractals and Turbulence

  3. Fractal Properties of Critical Fluctuations and Polymers

  4. Fractal Growth Models: General Features

    1. Front Matter
      Pages 135-135
    2. Paul Meakin, Susan Tolman
      Pages 137-168
    3. L. Pietronero, A. Erzan, C. Evertsz
      Pages 169-191
    4. Zoltán Rácz
      Pages 193-203
    5. Thomas C. Halsey
      Pages 205-216
    6. Jysoo Lee, Preben Alstrøm, H. Eugene Stanley
      Pages 217-226
  5. Application of Fractal Growth Models to Physical Phenomena

    1. Front Matter
      Pages 227-227
    2. Leonard M. Sander, David G. Grier
      Pages 229-237
    3. H. J. Wiesmann
      Pages 243-257
    4. R. Botet, G. Helgesen, A. T. Skjeltorp, P. M. Mors, R. Jullien
      Pages 259-267
  6. Diffusion and Vibrations on Fractals

    1. Front Matter
      Pages 277-277
    2. Eric Courtens, René Vacher, Jacques Pelous
      Pages 285-294
  7. Diffusion Fronts and Invasion Percolation

    1. Front Matter
      Pages 295-295
    2. B. Sapoval, M. Rosso, J. F. Gouyet, Y. Boughaleb
      Pages 297-305
    3. Jens Feder, Torstein Jøssang, Liv Furuberg, Knut Jørgen Måløy, Finn Boger, Amnon Aharony
      Pages 307-324
  8. Random Surfaces

    1. Front Matter
      Pages 325-325
    2. Mehran Kardar
      Pages 327-335
  9. Large Scale Distribution of Matter in the Universe

    1. Front Matter
      Pages 347-347
    2. Paul H. Coleman
      Pages 349-363
  10. Back Matter
    Pages 365-370

About this book

Introduction

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.

Keywords

Area development field fractal fractal dimension fractal geometry geometry group Natural Self-similarity similarity Variance Volume

Editors and affiliations

  • Luciano Pietronero
    • 1
  1. 1.University of Rome “La Sapienza”RomeItaly

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