Fractal market analysis

The application of chaos theory to market analysis produced a subfield of economics known as fractal market analysis, wherein researchers conduct... 

Gribbin, John. Deep Simplicity Brining Order to Chaos and Complexity. New York Random House, 2005. An examination of how chaos theory and related fields have changed scientific understanding of the universe. Provides many examples of complex systems found in nature and human culture. Mandelbrot, Benoit, and Richard L. Hudson. The Misbehavior of Markets A Fractal View of Financial Turbulence. New York Basic Books, 2006. Provides a detailed examination of fractal patterns and chaotic systems analysis in the theory of financial markets. Provides examples of how chaotic analysis can be used in economics and odier areas of human social behavior. Stewart, Ian. Does God Play Dice The New Mathematics of Chaos. 2d ed. 1997. Reprint. New York Hyperion, 2005. An evaluation of the role that order and chaos play in the universe through popular explanations of mathematic problems. Includes accessible descriptions of complex mathematical ideas underpinning chaos theory. 

But power-law distributions may lack any characteristic scale. This property prevented the use of power-law distributions in the natural sciences until mathematical introduction of Levy s new probabilistic concepts and the physical introduction of new scaling concepts for thermodynamic functions and correlation functions (see ref. [40]). In financial markets, invariance of time scales means that even a stock expert cannot distinguish in a time series analysis if the charts are, for example, daily, weekly, or monthly. These charts are statistically self-similar or fractal. 

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