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q-fin.ST2026
The Log S-fBM model: Statistical analysis
Othmane Zarhali, Emmanuel Bacry, Jean-François Muzy
The Log S-fBM model, introduced by Wu et al., is a stochastic volatility model whose log volatility is a stationary fractional Brownian motion (S-fBM): a stationary Gaussian proces…
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…