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When $\\sigma$ is constant and for every $H\\in (0,1)$, it was proved in [19] that, under some mean-reverting assumptions, such a process converges to its equilibrium at a rate of order $t^{-\\alpha}$ where $\\alpha \\in (0,1)$ (depending on $H$). In [11], this result has been extended to the multiplicative case when $H\\textgreater{}1/2$. 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