On normality in shifts of finite type

Published 19 Jul 2018 in cs.FL | (1807.07208v2)

Abstract: In this paper we consider the notion of normality of sequences in shifts of finite type. A sequence is normal if the frequency of each block exists and is equal to the Parry measure of the block. We give a characterization of normality in terms of incompressibility by lossless transducers. The result was already known in the case of the full shift.

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