Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nearest Neighbor and Contact Distance Distribution for Binomial Point
  Process on Spherical Surfaces   This letter characterizes the statistics of the contact distance and the
nearest neighbor (NN) distance for binomial point processes (BPP)
spatially-distributed on spherical surfaces. We consider a setup of $n$
concentric spheres, with each sphere $S_k$ has a radius $r_k$ and $N_k$ points
that are uniformly distributed on its surface. For that setup, we obtain the
cumulative distribution function (CDF) of the distance to the nearest point
from two types o observation points: (i) the observation point is not a part of
the point process and located on a concentric sphere with a radius
$r_e<r_k\forall k$, which corresponds to the contact distance distribution, and
(ii) the observation point belongs to the point process, which corresponds to
the nearest-neighbor (NN) distance distribution.

26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
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The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex