Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random Distance Distribution for Spherical Objects: General Theory and
  Applications to n-Dimensional Physics   A formalism is presented for analytically obtaining the probability density
function, (P_{n}(s)), for the random distance (s) between two random points in
an (n)-dimensional spherical object of radius (R). Our formalism allows
(P_{n}(s)) to be calculated for a spherical (n)-ball having an arbitrary volume
density, and reproduces the well-known results for the case of uniform density.
The results find applications in stochastic geometry, computational science,
molecular biological systems, statistical physics, astrophysics, condensed
matter physics, nuclear physics, and elementary particle physics. As one
application of these results, we propose a new statistical method obtained from
our formalism to study random number generators in (n)-dimensions used in Monte
Carlo simulations.

34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int