Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conjugates of characteristic Sturmian words generated by morphisms   This article is concerned with characteristic Sturmian words of slope
$\alpha$ and $1-\alpha$ (denoted by $c_\alpha$ and $c_{1-\alpha}$
respectively), where $\alpha \in (0,1)$ is an irrational number such that
$\alpha = [0;1+d_1,\bar{d_2,...,d_n}]$ with $d_n \geq d_1 \geq 1$. It is known
that both $c_\alpha$ and $c_{1-\alpha}$ are fixed points of non-trivial
(standard) morphisms $\sigma$ and $\hat{\sigma}$, respectively, if and only if
$\alpha$ has a continued fraction expansion as above. Accordingly, such words
$c_\alpha$ and $c_{1-\alpha}$ are generated by the respective morphisms
$\sigma$ and $\hat{\sigma}$. For the particular case when $\alpha =
[0;2,\bar{r}]$ ($r\geq1$), we give a decomposition of each conjugate of
$c_\alpha$ (and hence $c_{1-\alpha}$) into generalized adjoining singular
words, by considering conjugates of powers of the standard morphism $\sigma$ by
which it is generated. This extends a recent result of Lev\'{e} and S\ee bold
on conjugates of the infinite Fibonacci word.

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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: eess
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph