Erratum to: An empirical central limit theorem for intermittent maps

Abstract

There are two problems in the paper “An empirical central limit theorem for intermittent maps” published in Probability Theory and Related Fields (2010) 148:177-195. First, the definition of the coefficient β2(n) is in fact too restrictive. Secondly, there is a wrong argument in the proof of the main result, Theorem 2.1. In this erratum, we give the correct definition of the coefficient β2(n), as it was introduced in Dedecker and Prieur (2007), and we explain how to fix the proof of Theorem 2.1. The first paragraph is devoted to the definition of the coefficients. In the second paragraph, we give a slightly more general Rosenthal-type inequality than that given in Proposition 3.1, which will be used to fix the proof of Theorem 2.1. In the third paragraph, we explain the changes in the proof of Theorem 2.1.