Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: KAM-renormalization and Herman rings for 2D maps   In this note, we extend the renormalization horseshoe we have recently
constructed with N. Goncharuk for analytic diffeomorphisms of the circle to
their small two-dimensional perturbations. As one consequence, Herman rings
with rotation numbers of bounded type survive on a codimension one set of
parameters under small two-dimensional perturbations.

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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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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: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th