Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lochs-Type Approach via Entropy in Comparing the Efficiency of
  Different Continued Fraction Algorithms   We investigate the efficiency of several types of continued fraction
expansions of a number in the unit interval using a generalization of Lochs
theorem from 1964. Thus, we aimed to compare the efficiency by describing the
rate at which the digits of one number-theoretic expansion determine those of
another. We study Chan's continued fractions, $\theta$-expansions,
$N$-continued fractions and R\'enyi-type continued fractions. A central role in
fulfilling our goal is played by the entropy of the absolutely continuous
invariant probability measures of the associated dynamical systems.

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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
19
The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
16
The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph