Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Belief Dynamics in Social Networks: A Fluid-Based Analysis   The advent and proliferation of social media have led to the development of
mathematical models describing the evolution of beliefs/opinions in an
ecosystem composed of socially interacting users. The goal is to gain insights
into collective dominant social beliefs and into the impact of different
components of the system, such as users' interactions, while being able to
predict users' opinions. Following this thread, in this paper we consider a
fairly general dynamical model of social interactions, which captures all the
main features exhibited by a social system. For such model, by embracing a
mean-field approach, we derive a diffusion differential equation that
represents asymptotic belief dynamics, as the number of users grows large. We
then analyze the steady-state behavior as well as the time dependent
(transient) behavior of the system. In particular, for the steady-state
distribution, we obtain simple closed-form expressions for a relevant class of
systems, while we propose efficient semi-analytical techniques in the most
general cases. At last, we develop an efficient semi-analytical method to
analyze the dynamics of the users' belief over time, which can be applied to a
remarkably large class of systems.

29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci