The Historic Set of Ergodic Averages in Some Nonuniformly Hyperbolic   Systems
  This article is devoted to the study of the historic set of ergodic averages in some nonuniformly hyperbolic systems. In particular, our results hold for the robust classes of multidimensional nonuniformly expanding local diffeomorphisms and Viana maps. 
Zheng Yin, Ercai Chen, Xiaoyao Zhou
math.DS