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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2003 Volume 73, Issue 4, Pages 577–589 (Mi mzm206)
This article is cited in 9 papers

On the Pyatetskii-Shapiro Criterion of Normality

N. G. Moshchevitina, I. D. Shkredovb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b M. V. Lomonosov Moscow State University

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.

UDC: 511

Received: 10.04.2002

DOI: 10.4213/mzm206


 English version: Mathematical Notes, 2003, 73:4, 539–550

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© Steklov Math. Inst. of RAS, 2025