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On the Pyatetskii-Shapiro Criterion of Normality |
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| Authors: | Moshchevitin N. G. Shkredov I. D. |
| Affiliation: | (1) M. V. Lomonosov Moscow State University, Russia |
| Abstract: | In this paper, the Postnikov--Pyatetskii-Shapiro criterion of normality is given a more modern form. We obtain its unimprovable analogs for finite Markov chains, continued fractions, and generalized Bernoulli shifts. |
| Keywords: | criterion of normality finite Markov chain dynamical system Hausdorff measure continued fraction Bernoulli shift central limit theorem large deviations |
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