On abelian and additive complexity in infinite words

Mathematics – Combinatorics

Scientific paper

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Scientific paper

The study of the structure of infinite words having bounded abelian
complexity was initiated by G. Richomme, K. Saari, and L. Q. Zamboni. In this
note we define bounded additive complexity for infinite words over a finite
subset of Z^m. We provide an alternative proof of one of the results of
Richomme, Saari, and Zamboni.

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