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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：133/0  |  提交时间：2023/02/07
Central limit theorem  Stochastic partial differential equation  Full discretization  Poisson equation  Ergodic limit  
Dynamics on the number of prime divisors for additive arithmetic semigroups 期刊论文
FINITE FIELDS AND THEIR APPLICATIONS, 2022, 卷号: 81, 页码: 28
作者:  Wang, Biao
收藏  |  浏览/下载：67/0  |  提交时间：2023/02/07
Prime Number Theorem  Liouville function  Largest prime factors  Uniquely ergodic  Uniform distribution  
Ergodic inventory control with diffusion demand and general ordering costs 期刊论文
OPERATIONS RESEARCH LETTERS, 2021, 卷号: 49, 期号: 4, 页码: 578-585
作者:  Wei, Bo;  Yao, Dacheng
收藏  |  浏览/下载：144/0  |  提交时间：2021/10/26
Stochastic inventory model  General ordering costs  Diffusion process  (s, S) policy  Impulse control  
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：148/0  |  提交时间：2021/04/26
Skew-product transformation  uniform ergodicity  semi-uniform ergodicity  
Proof of the Birkhoff-Khinchin Ergodic Theorem 期刊论文
INVARIANT MEASURES FOR STOCHASTIC NONLINEAR SCHRODINGER EQUATIONS: NUMERICAL APPROXIMATIONS AND SYMPLECTIC STRUCTURES, 2019, 卷号: 2251, 页码: 191-194
作者:  Hong, Jialin;  Wang, Xu
收藏  |  浏览/下载：100/0  |  提交时间：2020/05/24
Shadowing orbits of stochastic differential equations 期刊论文
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 卷号: 9, 期号: 5, 页码: 2006-2018
作者:  Zhan, Qingyi
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Stochastic differential equations  random dynamical system  shadowing  multiplicative ergodic theorem  stochastic Lorenz system  
The rotation number of the linear Schrodinger equation with discontinuous almost periodic potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 8, 页码: 4202-4228
作者:  Zhou, Zhe
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Stepanov almost periodic function  Rotation number  Discrete hull  Ergodic theorem  Stepanov norm  
Semi-uniform sub-additive ergodic theorems for skew-product quasi-flows 期刊论文
Acta Mathematicae Applicatae Sinica, English Series,, 2014, 卷号: 30, 期号: 2, 页码: 359-366
作者:  Zhou Jinling
收藏  |  浏览/下载：72/0  |  提交时间：2021/01/14
Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrodinger equations 期刊论文
NONLINEARITY, 2011, 卷号: 24, 期号: 5, 页码: 1539-1564
作者:  Zhang, Meirong;  Zhou, Zhe
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
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