Scaling, Fractals and Wavelets
eBook - ePub

Scaling, Fractals and Wavelets

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Scaling, Fractals and Wavelets

About this book

Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe scaling — self-similarity, long-range dependence and multi-fractals — are introduced. These models are compared and related to one another. Next, fractional integration, a mathematical tool closely related to the notion of scale invariance, is discussed, and stochastic processes with prescribed scaling properties (self-similar processes, locally self-similar processes, fractionally filtered processes, iterated function systems) are defined. A number of applications where the scaling paradigm proved fruitful are detailed: image processing, financial and stock market fluctuations, geophysics, scale relativity, and fractal time-space.

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Yes, you can access Scaling, Fractals and Wavelets by Patrice Abry, Paolo Goncalves, Jacques Levy Vehel, Patrice Abry,Paolo Goncalves,Jacques Levy Vehel in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley-ISTE
Year
2013
Print ISBN
9781848210721
eBook ISBN
9781118622902
Edition
1
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Preface
  5. Chapter 1: Fractal and Multifractal Analysis in Signal Processing
  6. Chapter 2: Scale Invariance and Wavelets
  7. Chapter 3: Wavelet Methods for Multifractal Analysis of Functions
  8. Chapter 4: Multifractal Scaling: General Theory and Approach by Wavelets
  9. Chapter 5: Self-similar Processes
  10. Chapter 6: Locally Self-similar Fields
  11. Chapter 7: An Introduction to Fractional Calculus
  12. Chapter 8: Fractional Synthesis, Fractional Filters
  13. Chapter 9: Iterated Function Systems and Some Generalizations: Local Regularity Analysis and Multifractal Modeling of Signals
  14. Chapter 10: Iterated Function Systems and Applications in Image Processing
  15. Chapter 11: Local Regularity and Multifractal Methods for Image and Signal Analysis
  16. Chapter 12: Scale Invariance in Computer Network Traffic
  17. Chapter 13: Research of Scaling Law on Stock Market Variations
  18. Chapter 14: Scale Relativity, Non-differentiability and Fractal Space-time
  19. List of Authors
  20. Index