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Fractional Calculus & Rough Volatility in Quant Finance: Long-Memory Dynamics, Memory Kernels, and Alpha Signal Design
Paperback
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Publisher: Independently Published
Published: Feb 19 2026
Pages: 400
Weight: 1.17
Height: 0.82 Width: 6.00 Depth: 9.00
Language: English
Markets exhibit persistence. Volatility clusters. Order flow remembers. Classical stochastic models often assume away these structural memory effects. This book confronts that assumption directly.
Fractional Calculus & Rough Volatility in Quant Finance presents a rigorous yet applied framework for modeling long-memory dynamics in financial time series. It bridges fractional calculus, memory kernels, rough path theory, and modern alpha construction into a unified quantitative architecture.
You will learn how to:
Model persistent volatility using fractional Brownian motion and rough volatility frameworks
Implement fractional differentiation and memory kernels in Python
Detect long-memory structure using Hurst exponent estimation techniques
Translate memory dynamics into systematic trading signals
Integrate rough paths into volatility forecasting and signal filtering
Design alpha factors grounded in structural persistence rather than short-term noise
The text moves from theory to implementation with step-by-step mathematical exposition and production-ready code examples. It emphasizes statistical validation, signal robustness, and regime sensitivity.
This is not a surface-level overview. It is written for quantitative researchers, advanced traders, financial engineers, and graduate-level students who want to move beyond Markovian assumptions and build models that reflect how markets actually behave.
If you are building systematic strategies, volatility models, or research pipelines, this book provides the mathematical tools and implementation framework to incorporate memory directly into your alpha architecture.
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The Million-Dollar Financial Services Practice: A Proven System for Becoming a Top Producer
Mullen Jr, David J.
Paperback
The Infographic Guide to Personal Finance: A Visual Reference for Everything You Need to Know
Lariviere, Elisabeth
Cagan, Michele
Paperback
Small Time Operator: How to Start Your Own Business, Keep Your Books, Pay Your Taxes, and Stay Out of Trouble
Kamoroff, Bernard B.
Paperback
Investing 101: From Stocks and Bonds to Etfs and Ipos, an Essential Primer on Building a Profitable Portfolio
Cagan, Michele
Hardcover
SEVENTEEN TO MILLIONAIRE You're Seventeen. You're Canadian. You wanna be rich. Let's do this.
Price, Douglas
Paperback
The Most Important Thing Illuminated: Uncommon Sense for the Thoughtful Investor
Marks, Howard
Hardcover
No Loose Ends: The Smart & Slightly Morbid Guide to Estate Planning & End-Of-Life Tasks
Zuckerman, Adam
Hardcover
J.K. Lasser's Small Business Taxes 2026: Your Complete Guide to a Better Bottom Line
Weltman, Barbara
Paperback
Stop Making Stupid Investments: 7 Rules to Avoid the Hype and Build Real Wealth
Leiter, David
Hardcover
Sideways: Using the Power of Technical Analysis to Profit in Uncertain Times
Richards, Keith G.
Paperback
Trade Like a Stock Market Wizard: How to Achieve Superperformance in Stocks in Any Market
Minervini, Mark
Hardcover
Easy Money: Cryptocurrency, Casino Capitalism, and the Golden Age of Fraud: The Basis for the Documentary Everyone Is Lying to You for Money
McKenzie, Ben
Silverman, Jacob
Paperback
The Capital Order: How Economists Invented Austerity and Paved the Way to Fascism
Mattei, Clara E.
Paperback
Anti-Fascist Economics: In Defense of Affordability, Dignity, and Democracy
Weber, Isabella
Hardcover
Best Loser Wins: Why Normal Thinking Never Wins the Trading Game - Written by a High-Stake Day Trader
Hougaard, Tom
Paperback
Our Dollar, Your Problem: An Insider's View of Seven Turbulent Decades of Global Finance, and the Road Ahead
Rogoff, Kenneth
Paperback
Como Gane $2,000,000 En La Bolsa / How I Made $2,000,000 in the Stock Market
Darvas, Nicolas
Paperback
The Tax and Legal Playbook: Game-Changing Solutions to Your Small Business Questions
Kohler, Mark
Paperback
Fixed: Why Personal Finance Is Broken and How to Make It Work for Everyone
Campbell, John Y.
Ramadorai, Tarun
Hardcover
The Book on Rental Property Investing: How to Create Wealth with Intelligent Buy and Hold Real Estate Investing
Turner, Brandon
Paperback
The Mental Game of Trading: A System for Solving Problems with Greed, Fear, Anger, Confidence, and Discipline
Tendler, Jared
Paperback
Layered Money: From Gold and Dollars to Bitcoin and Central Bank Digital Currencies
Bhatia, Nik
Paperback
The World for Sale: Money, Power, and the Traders Who Barter the Earth's Resources
Blas, Javier
Farchy, Jack
Hardcover
Money and Me: How to Make Your Finances Work Harder for You and Your Family
Clements, Jonathan
Paperback
Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets
Taleb, Nassim Nicholas
Paperback
Elliott Wave - Fibonacci High Probability Trading: Master The Wave Principle and Market Timing With Proven Strategies
Sanders, Jarrod
Paperback
Money to Burn: The Unvarnished Truth about Leon Black, Apollo, and the Rise of a New Wall Street
Cohan, William D.
Hardcover
A Richer Retirement: Supercharging the 4% Rule to Spend More and Enjoy More
Bengen, William P.
Hardcover
How Not to Invest: The Ideas, Numbers, and Behaviors That Destroy Wealth--And How to Avoid Them
Ritholtz, Barry
Hardcover
Our Dollar, Your Problem: An Insider's View of Seven Turbulent Decades of Global Finance, and the Road Ahead
Rogoff, Kenneth
Hardcover
Masters of the Universe: Winning Strategies of America's Greatest Dealmakers
Kadlec, Daniel J.
Paperback
Covered Calls for Beginners: A Risk-Free Way to Collect "Rental Income" Every Single Month on Stocks You Already Own
Publications, Freeman
Paperback
Mastering Private Equity: Transformation Via Venture Capital, Minority Investments and Buyouts
White, Bowen
Prahl, Michael
Zeisberger, Claudia
Hardcover
Your Perfect Portfolio: The Ultimate Guide to Using the World's Most Powerful Investing Strategies
Roche, Cullen
Paperback
Beyond the Grave, Revised and Updated Edition: The Right Way and the Wrong Way of Leaving Money to Your Children (and Others)
Condon, Jeffery L.
Paperback
You Can Be a Stock Market Genius: Uncover the Secret Hiding Places of Stock Market Profits
Greenblatt, Joel
Paperback
The Accounting Game: Basic Accounting Fresh from the Lemonade Stand
Orloff, Judith
Mullis, Darrell
Paperback
Maximize Your Retirement: The Only Book You'll Ever Need to Retire Prosperous and Worry-Free
Oh, Jae
Paperback