Reduced SPDE models for co-evolving opinion dynamics capture clustering behavior efficiently with lower cost than full-state models.
Conservative stochastic pde and fluctuations of the symmetric simple exclusion process
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Strong well-posedness is proven for the VFPDK equation with correlated noise via kinetic semigroup estimates and renormalized kinetic solutions.
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Clustering in co-evolving opinion dynamics: reduced SPDE models
Reduced SPDE models for co-evolving opinion dynamics capture clustering behavior efficiently with lower cost than full-state models.
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Kinetic Theory with Fluctuations: Strong Well-Posedness of the Vlasov-Fokker-Planck-Dean-Kawasaki System
Strong well-posedness is proven for the VFPDK equation with correlated noise via kinetic semigroup estimates and renormalized kinetic solutions.