3 citations · 4 across the 9 of their papers we have counts for
9 papers
McKean-Vlasov SDEs with Local Distributional Interactions: Well-Posedness and Entropy-Cost Estimates
Xing Huang, Panpan Ren, Feng-Yu Wang
We study McKean-Vlasov SDEs with interaction kernels in $\tt W^{-\dd,k},$ the local negative Sobolev space on with indexes $\dd \in [0,\infty)$ and We der…
Exponential Ergodicity for McKean-Vlasov SDEs with Singular Interactions
Xing Huang, Feng-Yu Wang
Let and consider the -distance $$\|μ-ν\|_{k*}:= \sup\Big\{|μ(f)-ν(f)|:\ f\in\B_b(\R^d),\ \|f\|_{\tt L^k}:=\sup_{x\in \R^d}\|1_{B(x,1)}f\|_{L^k}\le 1\Big\}$$ b…
Exponential Ergodicity in Relative Entropy and -Wasserstein Distance for non-equilibrium partially dissipative Kinetic SDEs
Xing Huang, Eva Kopfer, Pierre Monmarché +1
In this paper, we derive exponential ergodicity in relative entropy for general kinetic SDEs under a partially dissipative condition. It covers non-equilibrium situations where the…
Entropy-Cost Inequalities for McKean-Vlasov SDEs with Singular Interactions
Xing Huang, Panpan Ren, Feng-Yu Wang
For a class of McKean-Vlasov stochastic differential equations with singular interactions, which include the Coulomb/Riesz/Biot-Savart kernels as typical examples (Examples 2.1 and…
Log-Sobolev Inequalities and Exponential Ergodicity for Non-degenerate and Degenerate McKean-Vlasov SDEs
Xing Huang, Eva Kopfer, Panpan Ren
The exponential ergodicity of partially dissipative McKean-Vlasov SDEs in the \(L^1\)-Wasserstein distance has been extensively studied using asymptotic reflection coupling. Howeve…
Exponential Ergodicity in $\W_1$ for SDEs with Distribution Dependent Noise and Partially Dissipative Drifts
Xing Huang, Huaiqian Li, Liying Mu
Being concerned with ergodicity of McKean--Vlasov SDEs, we establish a general result on exponential ergodicity in the -Wasserstein distance. The result is successfully applie…
Quantitative Propagation of Chaos in -Wasserstein distance for Mean Field Interacting Particle System
Xing Huang
In this paper, quantitative propagation of chaos in ()-Wasserstein distance for mean field interacting particle system is derived, where the diffusion coefficient i…
Well-Posedness for McKean-Vlasov SDEs Driven by Multiplicative Stable Noises
Chang-Song Deng, Xing Huang
We establish the well-posedness for a class of McKean-Vlasov SDEs driven by symmetric -stable Lévy process (), where the drift coefficient is Hölder continuous in sp…
Log-Harnack Inequality and Bismut Formula for McKean-Vlasov SDEs with Singularities in all Variables
Xing Huang, Feng-Yu Wang
The log-Harnack inequality and Bismut formula are established for McKean-Vlasov SDEs with singularities in all (time, space, distribution) variables, where the drift satisfies an i…