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References
J.-M. Dumont and A. Thomas, “Systèmes de numeration et fonctions fractales relatifs aux substitutions,”Theor. Comput. Sci.,65, No. 2, 153–169 (1989).
A. N. Livshits, “On a stationary sequence of random variables,” Preprint POMI P-5-92 (1992).
A. N. Livshits, “On the limit distributions and the asymptotics of extremal values for some sequences of random variables,”Zap. Nauchn. Semin. POMI,216, 86–103.
A. N. Livshits, “A sufficient condition for the weak intermixing of substitutions and stationary adical transformations,”Mat. Zametki,44, No. 6, 785–793 (1988).
M. Queffelec, “Substitution dynamical systems-spectral analysis,”Lect. Notes Math.,1294 (1987).
Additional information
In this note the question about the limit distributions for sequences of the sums of the coordinate random variales, generated by some adic and substitutional symbolic dynamical systems is studied. The weak convergence is proved for some classes of subsequences of a sequence of appropriate normed sums, by the limits of which all the limit distributions are exhausted. Bioliography: 5 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 216, 1994, pp. 104–109.
Translated by V. Sudakov.
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Livshits, A.N. On the sums of coordinate random variables for a certain class of substitutional dynamical systems. J Math Sci 88, 72–75 (1998). https://doi.org/10.1007/BF02363264
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DOI: https://doi.org/10.1007/BF02363264