Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sublinearly Morse Geodesics in CAT(0) Spaces: Lower Divergence and
  Hyperplane Characterization   We introduce the notion of k-lower divergence for geodesic rays in CAT(0)
spaces. Building on the work of Charney and Sultan we give various
characterizations of k-contracting geodesic rays using k-lower divergence and
k-slim triangles. We also characterize k-contracting geodesic rays in CAT(0)
cube complexes using sequences of well-separated hyperplanes.

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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
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The categories of this paper are: stat
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph