Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infinite words rich and almost rich in generalized palindromes   We focus on $\Theta$-rich and almost $\Theta$-rich words over a finite
alphabet $\mathcal{A}$, where $\Theta$ is an involutive antimorphism over
$\mathcal{A}^*$. We show that any recurrent almost $\Theta$-rich word $\uu$ is
an image of a recurrent $\Theta'$-rich word under a suitable morphism, where
$\Theta'$ is again an involutive antimorphism. Moreover, if the word $\uu$ is
uniformly recurrent, we show that $\Theta'$ can be set to the reversal mapping.
We also treat one special case of almost $\Theta$-rich words. We show that
every $\Theta$-standard words with seed is an image of an Arnoux-Rauzy word.

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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th