Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit theorems for nondegenerate U-statistics of continuous
  semimartingales   This paper presents the asymptotic theory for nondegenerate $U$-statistics of
high frequency observations of continuous It\^{o} semimartingales. We prove
uniform convergence in probability and show a functional stable central limit
theorem for the standardized version of the $U$-statistic. The limiting process
in the central limit theorem turns out to be conditionally Gaussian with mean
zero. Finally, we indicate potential statistical applications of our
probabilistic results.

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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an