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math.AP2020★ 2 cited
Deterministic particle approximation of aggregation-diffusion equations on unbounded domains
Sara Daneri, Emanuela Radici, Eris Runa
We consider a one-dimensional aggregation-diffusion equation, which is the gradient flow in the Wasserstein space of a functional with competing attractive-repulsive interactions.…
math.AP2020
Opinion Formation Systems via Deterministic Particles Approximation
Simone Fagioli, Emanuela Radici
We propose an ODE-based derivation for a generalized class of opinion formation models either for single and multiple species (followers, leaders, trolls). The approach is purely d…