Quantitative propagation of chaos is proved for the 2D stochastic vortex model on the whole space from moderately interacting noisy particles, yielding entropy and energy estimates.
Chodron de Courcel, M
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The paper establishes sharp relative entropy estimates for marginals of non-exchangeable interacting particle systems by linking a BBGKY hierarchy to first-passage percolation.
Derives nonlinear stochastic Fokker-Planck equations from noisy particle systems via relative entropy with pathwise quantitative bounds and proves unique strong solution existence for the PDE.
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Quantitative propagation of chaos for 2D stochastic vortex model on the whole space under moderate interactions
Quantitative propagation of chaos is proved for the 2D stochastic vortex model on the whole space from moderately interacting noisy particles, yielding entropy and energy estimates.
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Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation
The paper establishes sharp relative entropy estimates for marginals of non-exchangeable interacting particle systems by linking a BBGKY hierarchy to first-passage percolation.
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Pathwise quantitative particle approximation of nonlinear stochastic Fokker-Planck equations via relative entropy
Derives nonlinear stochastic Fokker-Planck equations from noisy particle systems via relative entropy with pathwise quantitative bounds and proves unique strong solution existence for the PDE.