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math.PR2024
Mean field equations arising from random vortex dynamics
Jiawei Li, Zhongmin Qian
We consider Mckean-Vlasov type stochastic differential equations with multiplicative noise arising from the random vortex method. Such an equation can be viewed as the mean-field l…
gr-qc2024
Dirac operators and field equations of the gravitational field and matter fields
Zhongmin Qian
Dirac operators on curved space-times are introduced with the help of a new point-view that observers have to be included in the formulation of natural laws. The class of Dirac ope…