Abstract
We study the fractal properties of distributions of random variables digits of polybasic Q-representations (a generalization of n-adic digits) of which form a homogeneous Markov chain in the case where the matrix of transition probabilities contains at least one zero.
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References
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M. V. Prats’ovytyi, “Fractal properties of distributions of random variables Q-symbols of which form a homogeneous Markov chain,” in: Asymptotic Analysis of Random Variables [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1994), pp. 245–254.
M. V. Prats’ovytyi, “Cantor and fractal properties of distributions of random variables Q-ymbols of which form a homogeneous Markov chain,” Teor. Ver. Mat. Statist., No. 58, 139–148 (1998).
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Prats’ovytyi, M.V. Singular and fractal properties of distributions of random variables digits of polybasic representations of which a form homogeneous Markov chain. Ukr Math J 52, 424–432 (2000). https://doi.org/10.1007/BF02513137
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DOI: https://doi.org/10.1007/BF02513137