2 citations · 5 across the 6 of their papers we have counts for
14 papers
Singular McKean-Vlasov SDEs: Well-Posedness, Regularities and Wangs Harnack Inequality
Panpan Ren
The well-posedness and regularity estimates in initial distributions are derived for singular McKean-Vlasov SDEs, where the drift contains a locally standard integrable term and a…
Order Preservation and Positive Correlation for Nonlinear Fokker Planck Equations
Panpan Ren
By investigating McKean-Vlasov SDEs, the order preservation and positive correlation are characterized for nonlinear Fokker-Planck equations. The main results recover the correspon…
Moderate Deviation Principles for Unbounded Additive Functionals of Distribution Dependent SDEs
Panpan Ren, Shen Wang
By comparing the original equations with the corresponding stationary ones, the moderate deviation principle (MDP) is established for unbounded additive functionals of several diff…
Distribution Dependent Stochastic Differential Equations
Xing Huang, Panpan Ren, Feng-Yu Wang
Due to their intrinsic link with nonlinear Fokker-Planck equations and many other applications, distribution dependent stochastic differential equations (DDSDEs for short) have bee…
Bismut Formula for Lions Derivative of Distribution-Path Dependent SDEs
Jianhai Bao, Panpan Ren, Feng-Yu Wang
To characterize the regularity of distribution-path dependent SDEs in the initial distribution which varies in the class of probability measures on the path space, we introduce the…
Donsker-Varadhan Large Deviations for Path-Distribution Dependent SPDEs
Panpan Ren, Feng-Yu Wang
As an important tool characterizing the long time behavior of Markov processes, the Donsker-Varadhan LDP (large deviation principle) does not directly apply to distribution depende…