Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Network of social groups or Let's have a party   We present a simple model for growing up and depletion of parties due to the
permanent communication between the participants of the events. Because of the
rapid exchange of information, everybody is able to evaluate its own and and
all other parties by means of the list of its friends. Therefore the number of
participants at different parties can be changed incessantly. Depending on the
deepness of the social contacts, which will be characterized by a parameter
$\alpha $, a stable distribution of party members emerges. At a critical
$\alpha_c$ an abrupt depletion of almost all parties is observed and as the
consequence all the peoples are assembled at a single party. The model is based
on a hierarchical social network. The probability that a certain person is
contacted to another one depends on the social distance introduced within the
network and homophily parameter $\alpha $.

28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph