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math.PR2021
Well-posedness of density dependent SDE driven by -stable process with Hölder drifts
Mingyan Wu, Zimo Hao
In this paper, we show the weak and strong well-posedness of density dependent stochastic differential equations driven by -stable processes with . The existence part…
math.PR2021
Singular kinetic equations and applications
Zimo Hao, Xicheng Zhang, Rongchan Zhu +1
In this paper we study singular kinetic equations on by the paracontrolled distribution method introduced in \cite{GIP15}. We first develop paracontrolled calculu…