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On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 8, 页码: 1463-1504
作者:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa;  Zhai, Jianliang
收藏  |  浏览/下载:165/0  |  提交时间:2020/09/23
stationary measure  Lyapunov function  limit measure  support  Birkhoff center  stochastic evolution system  
Ergodicity for a class of semilinear stochastic partial differential equations 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 页码: 20
作者:  Dong, Zhao;  Zhang, Rangrang
收藏  |  浏览/下载:196/0  |  提交时间:2020/05/24
invariant measures  irreducibility  semilinear partial differential equations  space-time white noise  strong Feller property  
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:207/0  |  提交时间:2020/01/10
Stochastic Lotka-Volterra system  Stationary measure  Ergodicity  Support  Stochastically cyclical oscillation  Turbulence  
INVARIANT MEASURES OF STOCHASTIC 2D NAVIER-STOKES EQUATIONS DRIVEN BY alpha-STABLE PROCESSES 期刊论文
ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2011, 卷号: 16, 页码: 678-688
作者:  Dong, Zhao;  Xu, Lihu;  Zhang, Xicheng
收藏  |  浏览/下载:126/0  |  提交时间:2018/07/30
alpha-stable process  Stochastic Navier-Stokes equation  Invariant measure  
Invariant measures for stochastic evolution equations of pure jump type 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2009, 卷号: 119, 期号: 2, 页码: 410-427
作者:  Dong, Zhao;  Xu, Tiange;  Zhang, Tusheng
收藏  |  浏览/下载:157/0  |  提交时间:2018/07/30
Stochastic evolution equations  Stochastic partial differential equations  Poisson counting measures  Semigroups  Invariant measures  
On kernel estimations and invariant measures of stochastic jump-diffusions 期刊论文
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2003, 卷号: 10, 期号: 1-3, 页码: 373-387
作者:  Li, CW;  Dong, Z
收藏  |  浏览/下载:105/0  |  提交时间:2018/07/30
jump-diffusion  heat-kernel bound  Lyapunov function  invariant measure  ergodicity