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由于随机噪声的正则化作用，提出了对平均值相互作用粒子系统的定量熵类型传播。与现有结果相对熵的混乱传播的现有结果不同，我们取代了相互作用粒子的初始分布与限制McKean -Vlasov SDES的有限相对熵，而有限的L 2 -Wasserstein距离 - 在某种意义上削弱了初始条件。Furthermore, a general result on the long time entropy-cost type propagation of chaos is provided and is applied in several degenerate models, including path dependent as well as kinetic mean field interacting particle system with dissipative coeffcients, where the log-Sobolev inequality for the the distribution of the solution to the limit McKean-Vlasov SDEs does not hold.
在具有弱初始条件的相对熵中混乱的传播∗
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