Uniformly balanced words with linear complexity and prescribed letter frequencies
arXiv:1108.3620 · doi:10.4204/EPTCS.63.8
Abstract
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.
In Proceedings WORDS 2011, arXiv:1108.3412