Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Radon measures invariant under horospherical flows on geometrically
  infinite quotients   We consider a locally finite (Radon) measure on $ SO^+(d,1)/ \Gamma $
invariant under a horospherical subgroup of $ SO^+(d,1) $ where $ \Gamma $ is a
discrete, but not necessarily geometrically finite, subgroup. We show that
whenever the measure does not observe any additional invariance properties then
it must be supported on a set of points with geometrically degenerate
trajectories under the corresponding contracting $ 1 $-parameter diagonalizable
flow (geodesic flow).

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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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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: eess
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas