Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant densities for random continued fractions   We continue the study of random continued fraction expansions, generated by
random application of the Gauss and the R\'enyi backward continued fraction
maps. We show that this random dynamical system admits a unique absolutely
continuous invariant measure with smooth density.

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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex