Multifractal analysis of some multiple ergodic averages in linear   Cookie-Cutter dynamical systems
  In this paper, we study the multiple ergodic averages of a locally constant real-valued function in linear Cookie-Cutter dynamical systems. The multifractal spectrum of these multiple ergodic averages is completely determined. 
Ai-Hua Fan (LAMFA), Lingmin Liao (LAMA), Meng Wu
math.DS