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On the central limit problem for processes of zero entropy. (English) Zbl 0567.60029

In this paper we show that a strictly stationary sequence of random variables with zero entropy can belong to the domain of partial attraction of a uniform distribution. The dynamical system which is used in the construction is a rotation.

MSC:

60F05 Central limit and other weak theorems
60G10 Stationary stochastic processes
28D20 Entropy and other invariants
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