Averages of automatic sequences (Q2503300)

The authors are interested in the existence and computation of average and correlation function of (generalized) automatic sequences. They, in particular, give a precise sufficient condition for the existence of such means. This paper supersedes (part of) previous papers of the authors [J. Phys. A, Math. Gen. 38, No. 12, 2599--2622 (2005; Zbl 1116.11013) and J. Phys. A, Math. Gen. 37, No. 45, 10879--10898 (2004; Zbl 1085.11012)]. Please note that reference [10] appeared: the authors, Int. J. Bifurcation Chaos Appl. 17, 1265--1303 (2007; Zbl 1182.37019).