124 citations · 988 across the 137 of their papers we have counts for
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Order Preservation for Path-Distribution Dependent SDEs
Xing Huang, Chang Liu, Feng-Yu Wang
Sufficient and necessary conditions are presented for the order preservation of path-distribution dependent SDEs. Differently from the corresponding study of distribution independe…
Gradient Estimates on Dirichlet Eigenfunctions
Marc Arnaudon, Anton Thalmaier, Feng-Yu Wang
By methods of stochastic analysis on Riemannian manifolds, we derive explicit constants and for a -dimensional compact Riemannian manifold with boundary…
Degenerate SDEs with Singular Drift and Applications to Heisenberg Groups
Xing Huang, Feng-Yu Wang
By using the ultracontractivity of a reference diffusion semigroup, Krylov's estimate is established for a class of degenerate SDEs with singular drifts, which leads to existence a…
Asymptotic Log-Harnack Inequality and Applications for Stochastic Systems of Infinite Memory
Jianhai Bao, Feng-Yu Wang, Chenggui Yuan
The asymptotic log-Harnack inequality is established for several different models of stochastic differential systems with infinite memory: non-degenerate SDEs, Neutral SDEs, semi-l…
Nonlinear Fokker-Planck equations for Probability Measures on Path Space and Path-Distribution Dependent SDEs
Xing Huang, Michael Röckner, Feng-Yu Wang
By investigating path-distribution dependent stochastic differential equations, the following type of nonlinear Fokker--Planck equations for probability measures …
Isoperimetric Inequalities for Non-Local Dirichlet Forms
Feng-Yu Wang, Jian Wang
Let $(E,\F,μ)$ be a $\si$-finite measure space. For a non-negative symmetric measure $J(\d x, \d y):=J(x,y) \,μ(\d x)\,μ(\d y)$ on consider the quadratic form $$\E(f,f…