124 citations · 988 across the 137 of their papers we have counts for
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Dimension-free Convergence Rate in Sliced Wasserstein Distance for Empirical Measures of Markov Processes
Feng-Yu Wang
To derive dimension-free convergence rates of empirical measures for Markov processes on a Banach space, we adopt the sliced Wasserstein distance (SW distance) induced by a probabi…
Entropy Estimate for Degenerate SDEs with Applications to Nonlinear Kinetic Fokker-Planck Equations
Zhongmin Qian, Panpan Ren, Feng-Yu Wang
The relative entropy for two different degenerate diffusion processes is estimated by using the Wasserstein distance of initial distributions and the difference between coefficient…
Singular Degenerate SDEs: Well-Posedness and Exponential Ergodicity
Panpan Ren, Martin Grothaus, Feng-Yu Wang
The well-posedness and exponential ergodicity are proved for stochastic Hamiltonian systems containing a singular drift term which is locally integrable in the component with noise…
Convergence in Wasserstein Distance for Empirical Measures of Non-Symmetric Subordinated Diffusion Processes
Feng-Yu Wang
By using the spectrum of the underlying symmetric diffusion operator, the convergence in -Wasserstein distance is characterized for the empirical measur…
Bi-Coupling Method and Applications
Panpan Ren, Feng-Yu Wang
By developing a new technique called the bi-coupling argument, we estimate the relative entropy between different diffusion processes in terms of the distances of initial distribut…
Second Order Bismut formulae and applications to Neumann semigroups on manifolds
Li-Juan Cheng, Anton Thalmaier, Feng-Yu Wang
Let be a complete connected Riemannian manifold with boundary , and let be the Neumann semigroup generated by where for a -vect…