Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ergodic Properties Of $\theta$-Expansions And A Gauss-Kuzmin-Type
  Problem   A generalization of the regular continued fractions was given by Chakraborty
and Rao \cite{CR-2003}. For the transformation which generates this expansion
and its invariant measure, the Perron-Frobenius operator is given and studied.
For this expansion, we apply the method of Rockett and Sz\"usz \cite{RS-1992}
and obtained the solution of its Gauss-Kuzmin-type problem.

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The categories of this paper are: physics
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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: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas