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We consider the following problem. Let us fix a finite alphabet A; for anygiven d-uple of letter frequencies, how to construct an infinite word u overthe alphabet A satisfying the following conditions: u has linear complexityfunction, u is uniformly balanced, the letter frequencies in u are given by thegiven d-uple. This paper investigates a construction method for such wordsbased on the use of mixed multidimensional continued fraction algorithms.

Uniformly balanced words with linear complexity and prescribed letter frequencies