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Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limit 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 卷号: 140, 页码: 236-286
作者:  Luo, Dejun;  Zhu, Rongchan
收藏  |  浏览/下载:107/0  |  提交时间:2022/04/02
Modified Surface Quasi-Geostrophic equation  Transport noise  White noise solution  Scaling limit  Weak convergence  
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:121/0  |  提交时间:2021/10/26
Weak convergence  Invariant measure  Kolmogorov equation  Malliavin calculus  
Dirichlet forms and polymer models based on stable processes 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 10, 页码: 5940-5972
作者:  Li, Liping;  Li, Xiaodan
收藏  |  浏览/下载:196/0  |  提交时间:2020/10/12
Dirichlet forms  Polymer models  Self-adjoint extensions  Stable processes  
Effective intervals and regular Dirichlet subspaces 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 10, 页码: 6064-6093
作者:  Li, Liping;  Sun, Wenjie;  Ying, Jiangang
收藏  |  浏览/下载:165/0  |  提交时间:2020/10/12
Dirichlet forms  Regular Dirichlet subspaces  One-dimensional symmetric diffusions  Scale functions  
Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2675-2692
作者:  Hong, Jialin;  Huang, Chuying;  Kamrani, Minoo;  Wang, Xu
收藏  |  浏览/下载:151/0  |  提交时间:2020/06/30
Cox-Ingersoll-Ross model  Fractional Brownian motion  Backward Euler scheme  Optimal strong convergence rate  Malliavin calculus  
Normal approximation by Stein's method under sublinear expectations 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2838-2850
作者:  Song, Yongsheng
收藏  |  浏览/下载:165/0  |  提交时间:2020/06/30
Stein's method  Normal approximation  Sublinear expectation  G-normal distribution  
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  
Properties of G-martingales with finite variation and the application to G-Sobolev spaces 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 卷号: 129, 期号: 6, 页码: 2066-2085
作者:  Song, Yongsheng
收藏  |  浏览/下载:184/0  |  提交时间:2020/01/10
G-martingales with finite variation  Generalized G-ito processes  Unique decomposition  G-Sobolev spaces  
Critical first-passage percolation starting on the boundary 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 卷号: 129, 期号: 6, 页码: 2049-2065
作者:  Jiang, Jianping;  Yao, Chang-Long
收藏  |  浏览/下载:275/0  |  提交时间:2020/01/10
Limit theorems for critical first-passage percolation on the triangular lattice 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2018, 卷号: 128, 期号: 2, 页码: 445-460
作者:  Yao, Chang-Long
收藏  |  浏览/下载:151/0  |  提交时间:2018/07/30
Critical percolation  First-passage percolation  Scaling limit  Conformal loop ensemble  Law of large numbers  Central limit theorem