Approximation of rough paths of fractional Brownian motion
  We consider a geometric rough path associated with a fractional Brownian motion with Hurst parameter $H\in]{1/4}, {1/2}[$. We give an approximation result in a modulus type distance, up to the second order, by means of a sequence of rough paths lying above elements of the reproducing kernel Hilbert space. 
Annie Millet (PMA), Marta Sanz-Sol\'e