The paper generalizes the results by É. Janvresse, T. de la Rue, and Y. Velenik on fluctuations in ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure for a wide class of functions. In particular, we answer several questions from that paper.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 432, 2015, pp. 224–260.
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Minabutdinov, A.R. Random Deviations of Ergodic Sums for the Pascal Adic Transformation in the Case of the Lebesgue Measure. J Math Sci 209, 953–978 (2015). https://doi.org/10.1007/s10958-015-2540-0
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DOI: https://doi.org/10.1007/s10958-015-2540-0