Error rates in the Darling–Kac law
Volume 220 / 2014
Studia Mathematica 220 (2014), 101-117
MSC: 37A30, 37A50, 37E05, 60Fxx.
DOI: 10.4064/sm220-2-1
Abstract
This work provides rates of convergence in the Darling–Kac law for infinite measure preserving Pomeau–Manneville (unit interval) maps. Along the way we obtain error rates for the stable law associated with the first return map and the first return time to some suitable set inside the unit interval.