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Physics of Fractal Operators

  • Bruce J. West
  • Mauro Bologna
  • Paolo Grigolini

Part of the Institute for Nonlinear Science book series (INLS)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Bruce J. West, Mauro Bologna, Paolo Grigolini
    Pages 1-35
  3. Bruce J. West, Mauro Bologna, Paolo Grigolini
    Pages 37-75
  4. Bruce J. West, Mauro Bologna, Paolo Grigolini
    Pages 77-119
  5. Bruce J. West, Mauro Bologna, Paolo Grigolini
    Pages 121-156
  6. Bruce J. West, Mauro Bologna, Paolo Grigolini
    Pages 157-183
  7. Bruce J. West, Mauro Bologna, Paolo Grigolini
    Pages 185-234
  8. Bruce J. West, Mauro Bologna, Paolo Grigolini
    Pages 235-270
  9. Bruce J. West, Mauro Bologna, Paolo Grigolini
    Pages 271-303
  10. Bruce J. West, Mauro Bologna, Paolo Grigolini
    Pages 305-331
  11. Bruce J. West, Mauro Bologna, Paolo Grigolini
    Pages 333-349
  12. Back Matter
    Pages 350-354

About this book

Introduction

This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.

Keywords

Fourier analysis differential equation dynamics evolution fractal path integral physics renormalization rheology transport wave wave propagation

Authors and affiliations

  • Bruce J. West
    • 1
  • Mauro Bologna
    • 2
  • Paolo Grigolini
    • 2
  1. 1.Department of the Army, U.S. Army Research LaboratoryArmy Research OfficeResearch Triangle ParkUSA
  2. 2.Department of PhysicsUniversity of North TexasDentonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-21746-8
  • Copyright Information Springer-Verlag New York 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3054-5
  • Online ISBN 978-0-387-21746-8
  • Series Print ISSN 1431-4673
  • Buy this book on publisher's site