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Scaling Limit of Moderately Interacting Particle Systems with Singular Interaction and Environmental Noise

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 نشر من قبل Dejun Luo
 تاريخ النشر 2021
  مجال البحث
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We consider moderately interacting particle systems with singular interaction kernel and environmental noise. It is shown that the mollified empirical measures converge in strong norms to the unique (local) solutions of nonlinear Fokker-Planck equations. The approach works for the Biot-Savart and Poisson kernels.



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