Polynomial loss of memory for maps of the interval with a neutral fixed   point
  We give an example of a sequential dynamical system consisting of intermittent-type maps which exhibits loss of memory with a polynomial rate of decay. A uniform bound holds for the upper rate of memory loss. The maps may be chosen in any sequence, and the bound holds for all compositions. 
R. Aimino, H. Hu, M. Nicol, A. Torok, S. Vaienti
math.DS