Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Apollonian circle packings: Dynamics and Number theory   We give an overview of various counting problems for Apollonian circle
packings, which turn out to be related to problems in dynamics and number
theory for thin groups. This survey article is an expanded version of my
lecture notes prepared for the 13th Takagi lectures given at RIMS, Kyoto in the
fall of 2013.

3
The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an