124 citations · 988 across the 137 of their papers we have counts for
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Derivative Formulas in Measure on Riemannian Manifolds
Panpan Ren, Feng-Yu Wang
We characterise the link of derivatives in measure, which are introduced in [AKR,Card,ORS] respectively by different means, for functions on the space of finite measure…
Talagrand Inequality on Free Path Space and Application to Stochastic Reaction Diffusion Equations
Feng-Yu Wang, Tusheng Zhang
By using a split argument due to [1], the transportation cost inequality is established on the free path space of Markov processes. The general result is applied to stochastic reac…
Limit Theorems in Warsserstein Distance for Empirical Measures of Diffusion Processes on Riemannian Manifolds
Feng-Yu Wang, Jie-Xiang Zhu
Let be a compact connected Riemannian manifold possibly with a boundary, let such that is a probability measure, and let …
Limit Theorems for Additive Functionals of Path-Dependent SDEs
Jianhai Bao, Feng-Yu Wang, Chenggui Yuan
By using limit theorems of uniform mixing Markov processes and martingale difference sequences, the strong law of large numbers, central limit theorem, and the law of iterated loga…
Linearization of Nonlinear Fokker-Planck Equations and Applications
Panpan Ren, Michael Rockner, Feng-Yu Wang
We associate a coupled nonlinear Fokker-Planck equation on , i.e. with solution paths in $\scr P$, to a linear Fokker-Planck equation for probability measures on the product…
Spectral Gap for Measure-Valued Diffusion Processes
Panpan Ren, Feng-Yu Wang
The spectral gap is estimated for measure-valued diffusion processes induced by the intrinsic/extrinsic derivatives on the space of finite measures over a Riemannian manifold. This…