We survey some recent developments on the mathematical modeling of opinion dynamics.
After an introduction on opinion modeling through interacting multi-agent systems described …

The modeling and control of epidemics, such as the novel Coronavirus, have become
crucial on a global scale, for effective management of epidemic situations. This paper is …

Digital communication has made the public discourse considerably more complex, and new
actors and strategies have emerged as a result of this seismic shift. Aside from the often …

In this work, we propose and investigate a strategy to prevent consensus in kinetic models
for opinion formation. We consider a large interacting agent system and assume that agent …

We study discrete-time finite-horizon optimal control problems in probability spaces,
whereby the state of the system is a probability measure. We show that, in many instances …

We introduce and discuss kinetic models of opinion formation on social networks in which
the distribution function depends on both the opinion and the connectivity of the agents. The …

In this paper we consider the modeling of opinion dynamics over time dependent large scale
networks. A kinetic description of the agents' distribution over the evolving network is …

In the field of complex social network hotspot analysis, mining the dynamic factors behind
information propagation is a focus of current research. In this paper, user multidimensional …

The dominanceof social networks has advanced immensely as many users become more
dependent on these networks to be able to engage on social discussions and activities. The …

In this paper, we propose a novel control approach for opinion dynamics on evolving
networks. The controls modify the strength of connections in the network, rather than …