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Stationary distributions and ergodicity of reflection-type Markov chains 期刊论文
STATISTICS & PROBABILITY LETTERS, 2022, 卷号: 189, 页码: 8
作者:  Liu, Yujie;  Niu, Minwen;  Yao, Dacheng;  Zhang, Hanqin
收藏  |  浏览/下载：49/0  |  提交时间：2023/02/07
Markov chain  Ergodicity  Stationary distribution  Feller chain  Small set  
Linearization of nonlinear Fokker-Planck equations and applications 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
作者:  Ren, Panpan;  Roeckner, Michael;  Wang, Feng-Yu
收藏  |  浏览/下载：74/0  |  提交时间：2023/02/07
Nonlinear Fokker-Planck equation  McKean-Vlasov stochastic differential equation  Diffusion process  Ergodicity  Feynman-Kac formula  
Uniform and Semi-uniform Convergence for Discontinuous Skew-product Transformation and Observation 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 卷号: 37, 期号: 2, 页码: 333-344
作者:  Pan, Xia;  Zheng, Zuo Huan;  Zhou, Zhe
收藏  |  浏览/下载：147/0  |  提交时间：2021/04/26
Skew-product transformation  uniform ergodicity  semi-uniform ergodicity  
A new metric for statistical properties of long time behaviors 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 4, 页码: 2741-2773
作者:  Zheng, Liqi;  Zheng, Zuohuan
收藏  |  浏览/下载：176/0  |  提交时间：2020/06/30
Generic point  Unique ergodicity  Time average  Weak mean equicontinuity  
Refined basic couplings and Wasserstein-type distances for SDEs with Levy noises 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 卷号: 129, 期号: 9, 页码: 3129-3173
作者:  Luo, Dejun;  Wang, Jian
收藏  |  浏览/下载：195/0  |  提交时间：2020/01/10
Refined basic coupling  Levy jump process  Wasserstein-type distance  Strong ergodicity  
Decomposition formula and stationary measures for stochastic Lotka-Volterra system with applications to turbulent convection 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 卷号: 125, 页码: 43-93
作者:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa;  Niu, Lei;  Zhai, Jianliang
收藏  |  浏览/下载：204/0  |  提交时间：2020/01/10
Stochastic Lotka-Volterra system  Stationary measure  Ergodicity  Support  Stochastically cyclical oscillation  Turbulence  
ERGODIC APPROXIMATION TO CHEMICAL REACTION SYSTEM WITH DELAY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 1, 页码: 70-95
作者:  Chen, Chuchu;  Liu, Di
收藏  |  浏览/下载：139/0  |  提交时间：2020/01/10
stochastic delay differential equation  invariant measure  ergodicity  weak convergence order  Malliavin calculus  Poisson random measure  
Averaging principle for one dimensional stochastic Burgers equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 10, 页码: 4749-4797
作者:  Dong, Zhao;  Sun, Xiaobin;  Xiao, Hui;  Zhai, Jianliang
收藏  |  浏览/下载：388/0  |  提交时间：2018/10/07
Stochastic Burgers' equation  Averaging principle  Ergodicity  Invariant measure  Strong convergence  Weak convergence  
Ergodicity of the 2D Navier-Stokes equations with degenerate multiplicative noise 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 卷号: 34, 期号: 1, 页码: 97-118
作者:  Dong, Zhao;  Peng, Xu-hui
收藏  |  浏览/下载：180/0  |  提交时间：2018/07/30
tochastic Navier-Stokes equation  asymptotically strong Feller property  ergodicity  
HIGH ORDER CONFORMAL SYMPLECTIC AND ERGODIC SCHEMES FOR THE STOCHASTIC LANGEVIN EQUATION VIA GENERATING FUNCTIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 6, 页码: 3006-3029
作者:  Hong, Jialin;  Sun, Liying;  Wang, Xu
收藏  |  浏览/下载：110/0  |  提交时间：2018/07/30
stochastic Langevin equation  conformal symplectic scheme  generating function  ergodicity  weak convergence