Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviation principle for harmonic/geometric/arithmetic mean of
  digits in backward continued fraction expansion   We establish the (level-1) large deviation principles for three kinds of
means associated with the backward continued fraction expansion. We show that:
for the harmonic and geometric means, the rate functions vanish exactly at one
point; for the arithmetic mean, it is completely degenerate, vanishing at every
point in its effective domain. Our method of proof employs the thermodynamic
formalism for finite Markov shifts, and a multifractal analysis for the R\'enyi
map generating the backward continued fraction digits. We completely determine
the class of unbounded arithmetic functions for which the rate functions vanish
at every point in unbounded intervals.

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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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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: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: math-ph