Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Corrected mean-field model for random sequential adsorption on random
  geometric graphs   A notorious problem in mathematics and physics is to create a solvable model
for random sequential adsorption of non-overlapping congruent spheres in the
$d$-dimensional Euclidean space with $d\geq 2$. Spheres arrive sequentially at
uniformly chosen locations in space and are accepted only when there is no
overlap with previously deposited spheres. Due to spatial correlations,
characterizing the fraction of accepted spheres remains largely intractable. We
study this fraction by taking a novel approach that compares random sequential
adsorption in Euclidean space to the nearest-neighbor blocking on a sequence of
clustered random graphs. This random network model can be thought of as a
corrected mean-field model for the interaction graph between the attempted
spheres. Using functional limit theorems, we characterize the fraction of
accepted spheres and its fluctuations.

0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol