Level sets of multiple ergodic averages
  We propose to study multiple ergodic averages from multifractal analysis point of view. In some special cases in the symbolic dynamics, Hausdorff dimensions of the level sets of multiple ergodic average limit are determined by using Riesz products. 
Fan Ai-Hua (LAMFA), Lingmin Liao (LAMFA), Ji-Hua Ma
math.DS