3 papers
math.DS2025
Random Attractors for McKean-Vlasov SDEs
Mengyu Cheng, Xianjin Cheng, Zhenxin Liu
In this paper, we mainly focus on the existence of random attractors for McKean-Vlasov stochastic differential equations on a separable Hilbert space . A significant challenge a…
math.DS2024
The multiplicative ergodic theorem for McKean-Vlasov SDEs
Xianjin Cheng, Zhenxin Liu, Lixin Zhang
In this paper, we establish the multiplicative ergodic theorem for McKean-Vlasov stochastic differential equations, in which the Lyapunov exponent is defined using the upper limit.…
math.DS2023
The locally homeomorphic property of McKean-Vlasov SDEs under the global Lipschitz condition
Xianjin Cheng, Zhenxin Liu
In this paper, we establish the locally diffeomorphic property of the solution to McKean-Vlasov stochastic differential equations defined on the Euclidean space. Our approach is bu…