Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertical Limits of Graph Domains   We consider the limiting behavior of Teichm\"uller geodesics in the universal
Teichm\"uller space $T(\mathbb{H})$. Our main result states that the limits of
the Teichm\"uller geodesics in the Thurston's boundary of $T(\mathbb{H})$ may
depend on both vertical and horizontal foliation of the corresponding
holomorphic quadratic differential.

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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org