Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

P vs NP Problem in Portfolio Optimization: Integrating the Markowitz-CAPM Framework with Cardinality Constraints and Black-Scholes Derivative Pricing

This paper makes the Millennium Prize problem P vs NP operational in quantitative finance by studying cardinality-constrained portfolio selection. Starting from the convex Markowitz mean-variance program with CAPM-based expected returns (Rf plus beta times ERP), we impose a hard sparsity rule that l

Holy Grail Math 6.5 Rigor 6 ·  March 6, 2026

Increasing Systemic Resilience to Socioeconomic Challenges: Modeling the Dynamics of Liquidity Flows and Systemic Risks Using Navier-Stokes Equations

Modern economic systems face unprecedented socioeconomic challenges, making systemic resilience and effective liquidity flow management essential. Traditional models such as CAPM, VaR, and GARCH often fail to reflect real market fluctuations and extreme events. This study develops and validates an i

Holy Grail Math 7.5 Rigor 5 ·  July 5, 2025

Gauging Growth: AGI Mathematical Metrics for Economic Progress

Today, the economy is greatly influenced by Artificial General Intelligence (AGI). The purpose of this paper is to determine the impact of the quantitative relations of AGI on the country’s economic parameters. The authors use the analysis of historical data in the research, develop a new mathematic

Philosophers Math 3.5 Rigor 2.5 ·  May 20, 2025

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