Massimo Campanino, Stefano Isola On the invariance principle for non-uniformly expanding transformations of [0,1]. (20K, Plain-Tex) ABSTRACT. We consider a class of maps of [0,1] with an indifferent fixed point at 0 and expanding everywhere else. Using a suitable uniformly expanding induced map we prove a functional central limit theorem (invariance principle) with anomalous scaling n/\log n for the random stationary process generated by this dynamical system.