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In this paper, quantitative propagation of chaos in L^ ( (0, 1) ) -Wasserstein distance for mean field interacting particle system is derived, where the diffusion coefficient is allowed to be interacting and the initial distribution of interacting particle system converges to that of the limit equation in L¹-Wasserstein distance. The non-degenerate and degenerate cases are investigated respectively and the main tool relies on the gradient estimate of the decoupled SDEs.
Xing Huang (Mon,) studied this question.