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STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
作者:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
收藏  |  浏览/下载：100/0  |  提交时间：2023/02/07
   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
Weak convergence and invariant measure of a full discretization for parabolic SPDEs with non-globally Lipschitz coefficients 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 卷号: 134, 页码: 55-93
作者:  Cui, Jianbo;  Hong, Jialin;  Sun, Liying
收藏  |  浏览/下载：122/0  |  提交时间：2021/10/26
Weak convergence  Invariant measure  Kolmogorov equation  Malliavin calculus  
PARAREAL EXPONENTIAL theta-SCHEME FOR LONGTIME SIMULATION OF STOCHASTIC SCHRODINGER EQUATIONS WITH WEAK DAMPING 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 6, 页码: B1155-B1177
作者:  Hong, Jialin;  Wang, Xu;  Zhang, Liying
收藏  |  浏览/下载：128/0  |  提交时间：2020/09/23
stochastic Schrodinger equation  parareal algorithm  exponential theta-scheme  invariant measure  
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：387/0  |  提交时间：2018/10/07
Stochastic Burgers' equation  Averaging principle  Ergodicity  Invariant measure  Strong convergence  Weak convergence  
The structure on invariant measures of C (1) generic diffeomorphisms 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 卷号: 28, 期号: 4, 页码: 817-824
作者:  Sun Wen Xiang;  Tian Xue Ting
收藏  |  浏览/下载：90/0  |  提交时间：2021/01/14
UNIFORM HYPERBOLICITY  Generic property  invariant measure and periodic measure  hyperbolic basic set  topologically transitive  irregular point  
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：122/0  |  提交时间：2018/07/30
alpha-stable process  Stochastic Navier-Stokes equation  Invariant measure  
Ergodicity of linear SPDE driven by L,vy noise 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 卷号: 23, 期号: 1, 页码: 137-152
作者:  Dong, Zhao;  Xie, Yingchao
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Ergodicity  invariant measure  Levy noise  linear SPDE  
An overview of representation theorems for static risk measures 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 卷号: 52, 期号: 7, 页码: 1412-1422
作者:  Song YongSheng;  Yan JiaAn
收藏  |  浏览/下载：158/0  |  提交时间：2018/07/30
Choquet integral  (concave) distortion  law-invariant  risk measure  stochastic orders  
On the uniqueness of invariant measure of the burgers equation driven by Levy processes 期刊论文
JOURNAL OF THEORETICAL PROBABILITY, 2008, 卷号: 21, 期号: 2, 页码: 322-335
作者:  Dong, Z.
收藏  |  浏览/下载：129/0  |  提交时间：2018/07/30
Burgers equations  Poisson process  Q-Wiener process  mild solution  invariant measure