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math.AP2024
A framework for continuum modeling of opinion dynamics on a network based on probability of connections
Gianluca Favre, Gaspard Jankowiak, Sara Merino-Aceituno +1
We propose a modeling framework to develop a continuum description of opinion dynamics on networks as an alternative to other models, like the ones based on graphons. In a nutshell…
math.AP2024
Stability of equilibria of the spatially inhomogeneous Vicsek-BGK equation across a bifurcation
Sara Merino-Aceituno, Christian Schmeiser, Raphael Winter
The Vicsek-BGK equation is a kinetic model for alignment of particles moving with constant speed between stochastic reorientation events with sampling from a von Mises distribution…