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On a class of infinite words with affine factor complexity

J. Bernat·Z. Masáková·E. Pelantová
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Abstract

In this article, we consider the factor complexity of a fixed point of a primitive substitution canonically defined by a beta-numeration system. We provide a necessary and sufficient condition on the Renyi expansion of 1 for having an affine factor complexity map C(n), that is, such that C(n)=an+b for any integer n.

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J. Bernat, Z. Masáková, E. Pelantová. 2007-01-12. On a class of infinite words with affine factor complexity. https://arxiv.org/abs/math/0612466

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