Stochastic Geometry for Quantitative Finance: Spatial Models, Random Fields, and Fractal Market Microstructure

Name: Stochastic Geometry for Quantitative Finance: Spatial Models, Random Fields, and Fractal Market Microstructure
Brand: Independently Published
SKU: 9798248940028
Price: 3110.0 INR
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by Alice Schwartz , Vincent Bisette , Hayden Van Der Post

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ISBN13: 9798248940028
Binding: Paperback
Subject: N/A
Publisher: Independently Published
Publisher Imprint: Independently Published
Publication Date: February 18, 2026
Pages: 486
Original Price: USD 34.99
Language: English
Edition: N/A
Item Weight: 645 grams
BISAC Subject(s): Econometrics

About The Book

Reactive Publishing

Financial markets are not merely time series. They are spatial systems shaped by clustering, fragmentation, scaling behavior, and nonlinear structure. Traditional stochastic calculus captures temporal evolution. Stochastic geometry captures structure.

This book introduces stochastic geometry as a rigorous framework for modeling the spatial and structural dimensions of modern markets. From limit order book topology to liquidity fragmentation and volatility clustering, the text develops geometric and probabilistic tools for understanding how price formation emerges from spatial interactions.

You will explore:

Random fields and spatial dependence in high-frequency data
Fractal structures and scaling laws in market microstructure
Point processes and order book geometry
Spatial covariance and clustering in liquidity
Percolation-style models of market stability
Geometric interpretations of volatility surfaces
Practical numerical implementations in Python

Rather than treating markets as abstract Brownian motion alone, this book frames them as structured stochastic environments where geometry matters.

Designed for quantitative analysts, financial engineers, researchers, and advanced students, this text bridges probability theory, spatial statistics, and microstructure modeling into a unified framework.

This is not a trading system manual. It is a structural lens for understanding how markets organize themselves in space and scale.

For quants who already understand stochastic calculus and want to go deeper into structure, topology, and fractal behavior, this book provides the mathematical foundation and practical modeling pathway.

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