Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Acylindrical Hyperbolicity of Out($W_n$)   We prove that the group of outer automorphisms of the free Coxeter group
$W_n$ is acylindrically hyperbolic in the sense of Osin. As an application, we
observe that any CAT(0) space admitting a geometric action by Out($W_n$) must
contain a rank-one geodesic. The theorem proceeds from expanding on a
well-known relationship between Out($W_n$) and the outer automorphism group of
free groups.

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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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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: q-bio
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga