Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geodesic flows and the mother of all continued fractions   We extend the Series' connection between the modular surface
$\mathcal{M}=\operatorname{PSL}(2,\mathbb{Z})\backslash\mathbb{H}$, cutting
sequences, and regular continued fractions to the slow converging Lehner and
Farey continued fractions with digits $(1,+1)$ and $(2,-1)$ in the notation
used for the Lehner continued fractions. We also introduce an alternative
insertion and singularization algorithm for Farey expansions and other
non-semiregular continued fractions, and an alternative dual expansion to the
Farey expansions so that $\frac{dxdy}{(1+xy)^2}$ is invariant under the natural
extension map.

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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn