Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Gauss-Kuzmin Type Problem for a Family of Continued Fractions   We study a family of continued fraction expansion of reals from the unit
interval. The Perron-Frobenius operator of the transformation which generates
this expansion under the invariant measure of this transformation is given.
Using the ergodic behavior of homogeneous random system with complete
connections associated with this expansion we solve a variant of Gauss-Kuzmin
problem for this continued fraction expansion.

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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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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: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th