Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expected Sizes of Poisson-Delaunay Mosaics and Their Discrete Morse
  Functions   Mapping every simplex in the Delaunay mosaic of a discrete point set to the
radius of the smallest empty circumsphere gives a generalized discrete Morse
function. Choosing the points from an n-dimensional Poisson point process, we
study the expected number of simplices in the Delaunay mosaic as well as the
expected number of critical simplices and non-singular intervals in the
corresponding generalized discrete gradient. Observing connections with other
probabilistic models, we obtain precise expressions for the expected numbers in
low dimensions. In particular, we get the expected numbers of simplices in the
Poisson-Delaunay mosaic in dimensions up to 4.

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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
3
The categories of this paper are: physics
1
The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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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: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio