On the sums of coordinate random variables for a certain class of substitutional dynamical systems
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part 13, Tome 216 (1994), pp. 104-109
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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.
@article{ZNSL_1994_216_a9,
author = {A. N. Livshits},
title = {On the sums of coordinate random variables for a~certain class of substitutional dynamical systems},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {104--109},
year = {1994},
volume = {216},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_216_a9/}
}
A. N. Livshits. On the sums of coordinate random variables for a certain class of substitutional dynamical systems. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part 13, Tome 216 (1994), pp. 104-109. http://geodesic.mathdoc.fr/item/ZNSL_1994_216_a9/