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q-fin.ST2026
From rough to multifractal multidimensional volatility: A multidimensional Log S-fBM model
Othmane Zarhali, Emmanuel Bacry, Jean-François Muzy
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 multidi…
q-fin.ST2026
A Nested Factor Model for Equity Markets: Reconciling Multifractal Stock Returns and Rough Index Volatilities
Othmane Zarhali, Cecilia Aubrun, Emmanuel Bacry +2
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…