Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic action and asymptotic winding number for area-preserving
  diffeomorphisms of the disk   Given a compactly supported area-preserving diffeomorphism of the disk, we
prove an integral formula relating the asymptotic action to the asymptotic
winding number. As a corollary, we obtain a new proof of Fathi's integral
formula for the Calabi homomorphism on the disk.

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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
16
The categories of this paper are: stat