187 citations · 727 across the 42 of their papers we have counts for
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Central Limit Type Theorem and Large Deviation Principle for Multi-Scale McKean-Vlasov SDEs
Wei Hong, Shihu Li, Wei Liu +1
In this paper, we aim to study the asymptotic behavior for multi-scale McKean-Vlasov stochastic dynamical systems. Firstly, we obtain a central limit type theorem, i.e, the deviati…
Nonmonotone local minimax methods for finding multiple saddle points
Wei Liu, Ziqing Xie, Wenfan Yi
In this paper, by designing a normalized nonmonotone search strategy with the Barzilai--Borwein-type step-size, a novel local minimax method (LMM), which is a globally convergent i…
Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs
Wei Liu, Ziqing Xie, Wenfan Yi
The local minimax method (LMM) proposed in [Y. Li and J. Zhou, SIAM J. Sci. Comput., 23(3), 840--865 (2001)] and [Y. Li and J. Zhou, SIAM J. Sci. Comput., 24(3), 865--885 (2002)] i…
Strong Convergence Rates in Averaging Principle for Slow-Fast McKean-Vlasov SPDEs
Wei Hong, Shihu Li, Wei Liu
In this paper, we aim to study the asymptotic behaviour for a class of McKean-Vlasov stochastic partial differential equations with slow and fast time-scales. Using the variational…
Quantitative ergodic theorems for actions of groups of polynomial growth
Guixiang Hong, Wei Liu
We strengthen the maximal ergodic theorem for actions of groups of polynomial growth to a form involving jump quantity, which is the sharpest result among the family of variational…
Large Deviation Principle for McKean-Vlasov Quasilinear Stochastic Evolution Equations
Wei Hong, Shihu Li, Wei Liu
This paper is devoted to investigating the Freidlin-Wentzell's large deviation principle for a class of McKean-Vlasov quasilinear SPDEs perturbed by small multiplicative noise. We…
Distribution Dependent Stochastic Porous Media Equations
Jingyue Gao, Wei Hong, Wei Liu
Using the generalized variational framework, the strong/weak existence and uniqueness of solutions are derived for a class of distribution dependent stochastic porous media equatio…
Freidlin-Wentzell Type Large Deviation Principle for Multi-Scale Locally Monotone SPDEs
Wei Hong, Shihu Li, Wei Liu
This work is concerned with Freidlin-Wentzell type large deviation principle for a family of multi-scale quasilinear and semilinear stochastic partial differential equations. Emplo…