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math.PR2022
Mean-field limit of Non-exchangeable interacting diffusions with singular kernels
Zhenfu Wang, Xianliang Zhao, Rongchan Zhu
The mean-field limit of interacting diffusions without exchangeability, caused by weighted interactions and non-i.i.d. initial values, are investigated. The weights could be signed…
math.PR2021★ 1 cited
Gaussian fluctuations for interacting particle systems with singular kernels
Zhenfu Wang, Xianliang Zhao, Rongchan Zhu
We consider the asymptotic behavior of the fluctuations for the empirical measures of interacting particle systems with singular kernels. We prove that the sequence of fluctuation…