Hegselmann-Krause model with environmental noise (Q6653795)

scientific article; zbMATH DE number 7959112

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English	Hegselmann-Krause model with environmental noise	scientific article; zbMATH DE number 7959112

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instance of

scholarly article

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title

Hegselmann-Krause model with environmental noise (English)

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Transactions of the American Mathematical Society

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publication date

17 December 2024

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zbMATH Keywords

interacting particle system

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McKean-Vlasov equation

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mean-field limit

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propagation of chaos

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stochastic Fokker-Planck equation

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stochastic partial differential equation

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MaRDI profile type

Publication

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cites work

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Pathwise McKean-Vlasov theory with additive noise

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Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems

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Propagation of chaos for interacting particles subject to environmental noise

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Stochastic nonlinear Fokker-Planck equations

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Well-posedness of the limiting equation of a noisy consensus model in opinion dynamics

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\(W^{2, p}\)-solutions of parabolic SPDEs in general domains

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Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients

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Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes

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Consensus convergence with stochastic effects

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Propagation of chaos for a subcritical Keller-Segel model

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The microscopic derivation and well-posedness of the stochastic Keller-Segel equation

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Dynkin Game of Stochastic Differential Equations with Random Coefficients and Associated Backward Stochastic Partial Differential Variational Inequality

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Identifiers

DOI

10.1090/tran/9289

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6653795