On the sums of coordinate random variables for a certain class of substitutional dynamical systems

In this note the question is studied about the limit distributions for the sequencies of the sums of the coordinate random variables, generated by some adic and substitutional symbolic dynamical systems. The weak convergence is proved for some classes of subsequences of the sequence of appropriate normed sums, by the limits of which all the limit distributions are exhausted. Bibliography: 5 titles.