Strong approximation of partial sums under dependence conditions with   application to dynamical systems
  In this paper, we obtain precise rates of convergence in the strong invariance principle for stationary sequences of real-valued random variables satisfying weak dependence conditions including strong mixing in the sense of Rosenblatt (1956) as a special case. Applications to unbounded functions of intermittent maps are given. 
Florence Merlev\`ede and Emmanuel Rio
math.PR