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CLT for approximating ergodic limit of SPDEs via a full discretization 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 卷号: 157, 页码: 1-41
作者:  Chen, Chuchu;  Dang, Tonghe;  Hong, Jialin;  Zhou, Tau
收藏  |  浏览/下载：132/0  |  提交时间：2023/02/07
Central limit theorem  Stochastic partial differential equation  Full discretization  Poisson equation  Ergodic limit  
Towards mesoscopic ergodic theory 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 24
作者:  Qi, Weiwei;  Shen, Zhongwei;  Wang, Shirou;  Yi, Yingfei
收藏  |  浏览/下载：116/0  |  提交时间：2020/09/23
ergodic theory  stochastic differential equation  Fokker-Planck equation  stationary measure  physical measure  mesoscopic limit  
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  
Approximation of Ergodic Limit for Conservative Stochastic Nonlinear Schrodinger Equations 期刊论文
INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 卷号: 2251, 页码: 153-180
作者:  Hong, Jialin;  Wang, Xu
收藏  |  浏览/下载：108/0  |  提交时间：2020/05/24
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：112/0  |  提交时间：2018/07/30
stochastic Langevin equation  conformal symplectic scheme  generating function  ergodicity  weak convergence  
NUMERICAL ANALYSIS ON ERGODIC LIMIT OF APPROXIMATIONS FOR STOCHASTIC NLS EQUATION VIA MULTI-SYMPLECTIC SCHEME 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 1, 页码: 305-327
作者:  Hong, Jialin;  Wang, Xu;  Zhang, Liying
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
stochastic Schriidinger equation  multiplicative noise  unique ergodicity  multisymplectic scheme  weak error  
deviationpropertyofperiodicmeasuresinc1nonuniformlyhyperbolicsystemswithlimitdomination 期刊论文
actamathematicasinicaenglishseries, 2012, 卷号: 28, 期号: 9, 页码: 1727
作者:  Qian Sheng;  Sun Wen Xiang;  Tian Xue Ting
收藏  |  浏览/下载：100/0  |  提交时间：2020/01/10
Deviation Property of Periodic Measures in C-1 Non-uniformly Hyperbolic Systems with Limit Domination 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 卷号: 28, 期号: 9, 页码: 1727-1740
作者:  Qian Sheng;  Sun Wen Xiang;  Tian Xue Ting
收藏  |  浏览/下载：135/0  |  提交时间：2021/01/14
INVARIANT-MEASURES  Exponential growth rate  generalized entropy  large deviation  limit domination  Pesin set  
A limit theorem for partial sums of random variables and its applications 期刊论文
STATISTICS & PROBABILITY LETTERS, 2003, 卷号: 62, 期号: 1, 页码: 79-86
作者:  Liu, W;  Yan, JA;  Yang, WG
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
extended Borel-Cantelli lemma  strong laws of large numbers  
Some properties of invariant sets of a flow 期刊论文
CHAOS SOLITONS & FRACTALS, 2000, 卷号: 11, 期号: 14, 页码: 2319-2323
作者:  Wang, XX
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30