Uniformly balanced words with linear complexity and prescribed letter frequencies

  title={Uniformly balanced words with linear complexity and prescribed letter frequencies},
  author={Val{\'e}rie Berth{\'e} and S{\'e}bastien Labb{\'e}},
We consider the following problem. Let us fix a finite alphabet A; for any given d-uple of letter frequencies, how to construct an infinite word u over the alphabet A satisfying the following conditions: u has linear complexity function, u is uniformly balanced, the letter frequencies in u are given by the given d-uple. This paper investigates a construction method for such words based on the use of mixed multidimensional continued fraction algorithms. 

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