22 citations · 23 across the 2 of their papers we have counts for
2 papers
math.PR2012★ 22 cited
Empirical central limit theorems for ergodic automorphisms of the torus
J. Dedecker, F. Merlevède, F. Pène
Let T be an ergodic automorphism of the d-dimensional torus T^d, and f be a continuous function from T^d to R^l. On the probability space T^d equipped with the Lebesgue-Haar measur…
math.PR2012★ 1 cited
Rates of convergence in the strong invariance principle for non adapted sequences. Application to ergodic automorphisms of the torus
J. Dedecker, F. Merlevède, F. Pène
In this paper, we give rates of convergence in the strong invariance principle for non-adapted sequences satisfying projective criteria. The results apply to the iterates of ergodi…