Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Fine Structure of Herman Rings   We study the geometric structure of the boundary of Herman rings in a model
family of Blaschke products of degree 3. Shishikura's quasiconformal surgery
relates the Herman ring to the Siegel disk of a quadratic polynomial. By
studying the regularity properties of the maps involved, we can transfer
McMullen's results on the fine local geometry of Siegel disks to the Herman
ring setting.

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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess