Overview

Reactive PublishingFractal Geometry & Multiscale Market Models explores how financial markets self-organize across scales and how those structures can be measured, modeled, and traded. This book introduces a complete framework for analyzing financial time series through the lens of scaling laws, roughness, multifractal dimensions, and structural dependencies that persist across horizons. Readers will learn how volatility, liquidity, and price impact exhibit non-Gaussian scaling behavior, why traditional Brownian assumptions fail under empirical data, and how fractal methods reveal deeper regularities beneath apparent randomness. The text unifies multifractal spectrum estimation, Hurst exponents, power-law tails, structural breaks, and wavelet-based decomposition techniques to explain how market regimes emerge, evolve, and collapse. Case studies build from FX and equities to crypto and futures, demonstrating how fractal signatures differ across asset classes. Applied chapters show how multiscale volatility and multifractal geometry can support systematic strategy design, improve risk estimation, enhance forecasting, and detect transitional instability in complex market environments. Authors, quants, and advanced practitioners interested in rough volatility, fractal markets, and multiscale analysis will find a comprehensive toolkit for modeling price formation beyond classical stochastic calculus and equilibrium frameworks. Fractal Geometry & Multiscale Market Models offers a rigorous and practical synthesis for anyone researching or deploying multiscale market structure in modern quantitative finance.

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