Papers, ranked by score

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

From rough to multifractal multidimensional volatility: A multidimensional Log S-fBM model

We introduce the multivariate Log S-fBM model (mLog S-fBM), extending the univariate framework proposed by Wu \textit{“et al.”} to the multidimensional setting. We define the multidimensional Stationary fractional Brownian motion (mS-fBM), characterized by marginals following S-fBM dynamics and a sp

Holy Grail Math 9 Rigor 7.5 ·  January 15, 2026

The self-exciting nature of the bid-ask spread dynamics

The bid-ask spread, which is defined by the difference between the best selling price and the best buying price in a Limit Order Book at a given time, is a crucial factor in the analysis of financial securities. In this study, we propose a “State-dependent Spread Hawkes model” (SDSH) that accounts f

Holy Grail Math 7.5 Rigor 8 ·  March 3, 2023

Why is the volatility of single stocks so much rougher than that of the S&P500?

The Nested factor model was introduced by Chicheportiche et al. to represent non-linear correlations between stocks. Stock returns are explained by a standard factor model, but the (log)-volatilities of factors and residuals are themselves decomposed into factor modes, with a common dominant volatil

Holy Grail Math 8 Rigor 6.5 ·  May 5, 2025

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