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

Fast simulation of Volterra processes using random Fourier features with application to the log-stationary fractional Brownian motion

A fast simulation framework for stochastic Volterra processes based on Random Fourier Features (RFF) approximation of the kernel is developed. After recalling the main properties of Volterra processes and reviewing existing numerical simulation methods, an accelerated scheme is introduced that relie

Holy Grail Math 8 Rigor 6.5 ·  March 3, 2026

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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