- 94-228 Massimo Campanino, Stefano Isola
- On the invariance principle for
non-uniformly expanding transformations of [0,1].
Jul 7, 94
(auto. generated ps),
of related papers
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.