# Fixed points of Sturmian morphisms and their derivated words

@article{Klouda2018FixedPO, title={Fixed points of Sturmian morphisms and their derivated words}, author={K. Klouda and K. Medkov{\'a} and E. Pelantov{\'a} and Step{\'a}n Starosta}, journal={Theor. Comput. Sci.}, year={2018}, volume={743}, pages={23-37} }

Any infinite uniformly recurrent word ${\bf u}$ can be written as concatenation of a finite number of return words to a chosen prefix $w$ of ${\bf u}$. Ordering of the return words to $w$ in this concatenation is coded by derivated word $d_{\bf u}(w)$. In 1998, Durand proved that a fixed point ${\bf u}$ of a primitive morphism has only finitely many derivated words $d_{\bf u}(w)$ and each derivated word $d_{\bf u}(w)$ is fixed by a primitive morphism as well. In our article we focus on Sturmian… CONTINUE READING

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