4 papers
Kinetic SIS opinion-driven models with asymmetric awareness feedback: macroscopic limit and polarization
Juan Pablo Pinasco, Nicolas Saintier, Horacio Tettamanti +1
We study a kinetic multi-agent framework coupling opinion dynamics with epidemic spreading, where individual social behaviour both affects and is affected by disease transmission.…
Fractional Lane-Emden Hamiltonian systems
Ignacio Ceresa Dussel, Julián Fernández Bonder, Nicolas Saintier +1
In this work, our interest lies in proving the existence of solutions to the following Fractional Lane-Emden Hamiltonian system: $$ \begin{cases} (-Δ)^s u = H_v(x,u,v) & \text{in }…
Analytical insights from a model of opinion formation based on Persuasive Argument Theory
Lucía Pedraza, Nicolas Saintier, Juan Pablo Pinasco +2
In recent years, numerous mathematical models of opinion formation have been developed, incorporating diverse interaction mechanisms such as imitation and majority rule. However, l…
Opinion formation process in a hierarchical society
María Celeste Romero Longar, Nicolas Saintier, Analía Silva
In this work we study the formation of consensus in a hierarchical population. We derive the corresponding kinetic equations, and analyze the long time behaviour of their solutions…