Correlations, large deviations, and rates of convergence in ergodic theorems for characteristic functions (Q492735)

The authors are concerned with convergence rates in ergodic theorems for indicator functions of Borel sets which are subsets of smooth manifolds. Theorem 1 and its corollary deal with the Birkhoff theorem, while Theorem 2 and the corresponding remark deal with the von Neumann theorem. The argumentation is based on approximations of indicator functions by smooth functions.