Abstract

We call N- e ́ criture the transformation on words which consists on shifting a window of length N along a word and recoding by associating at each factor of length N a new letter. We give a complete characterisation of the words obtained by this transformation and describe a method to get a particular antecedent. Finally we apply previous results to give a new description of sequences which contain n + c st different subwords of length n for n great enough. In particular, we explain relations between these sequences and sturmian sequences.

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