Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The exponent of repetition of the characteristic Sturmian word whose
  slope is a quadratic irrational   For an infinite word $x$, Bugeaud and Kim introduced a quantity
$\mathrm{rep}(x)$ called the exponent of repetition of $x$. We prove that
$\mathrm{rep}(x) = \mathrm{rep}(y)$ holds for a Sturmian word $x$ and every
suffix $y$ of $x$. Let $c$ be the characteristic Sturmian word of slope
$\theta$. When $\theta$ is a quadratic irrational, a formula of
$\mathrm{rep}(c)$ is given. This formula shows that $\mathrm{rep}(c) =
\mathrm{rep}(c')$ if $c'$ is the characteristic Sturmian word whose slope is a
quadratic irrational equivalent to $\theta$.

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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc