Fractal analysis

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Bibliographic Information

Fractal analysis

Clifford T. Brown, Larry S. Liebovitch

(Sage publications series, . Quantitative applications in the social sciences ; 07-165)

Sage, c2010

  • : pbk

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Note

Bibliography: p. 79-84

Includes indexes

Description and Table of Contents

Description

A specialized presentation of fractal analysis oriented to the social sciences This primer uses straightforward language to give the reader step-by-step instructions for identifying and analyzing fractal patterns and the social process that create them. By making fractals accessible to the social science students, this book has a significant impact on the understanding of human behavior. This is the only book designed to introduce fractal analysis to a general social science audience.

Table of Contents

About the Authors Series Editor's Introduction Preface Chapter 1. Introduction to Fractal Analysis Mandelbrot What Are Fractals? Fractal Dimension: Quantifying Fractal Properties The Formal Definition of Fractals Discussion Chapter 2. Fractal Analysis of Frequency Distributions Power Laws Summary Chapter 3. Fractal Patterns Embedded in Two Dimensions Estimating the Fractal Dimension of Empirical Data Summary and Discussion Chapter 4. Social Processes That Generate Fractals How We Do Our "To Do" Lists: Preferential Priorities How We Kill: Attendant Causes, Self-Organized Criticality, and Agent-Based Models How We Network: Preferential Attachment How We Decide Where to Live: Diffusion Limited Aggregation How We Look for Food: Levy Flights How We Live Together: Balancing Cohesive and Disruptive Forces Summary and Discussion Chapter 5. Advanced Topics in Fractal Analysis Multiscaling Fractal Patterns Patterns Embedded in Three Dimensions Self-Affine Fractals Fractal Time Series Multifractals Lacunarity Conclusion Chapter 6. Final Considerations Should I Try Fractal Analysis? References Author Index Subject Index

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