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math.PR2024
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…
math.PR2024★ 1 cited
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…
math.PR2024
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…