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Central limit theorem and moderate deviation principle for stochastic scalar conservation laws 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 516, 期号: 1, 页码: 26
作者:  Wu, Zhengyan;  Zhang, Rangrang
收藏  |  浏览/下载:66/0  |  提交时间:2023/02/07
Stochastic scalar conservation laws  Weak convergence method  Doubling of variables method  Central limit theorem  Moderate deviation principle  Kinetic solution  
Distorted Brownian motions on space with varying dimension 期刊论文
ELECTRONIC JOURNAL OF PROBABILITY, 2022, 卷号: 27, 页码: 32
作者:  Li, Liping;  Lou, Shuwen
收藏  |  浏览/下载:33/0  |  提交时间:2023/02/07
distorted Brownian motions  Dirichlet forms  varying dimension  heat kernel estimates  
3D tamed Navier-Stokes equations driven by multiplicative Levy noise: Existence, uniqueness and large deviations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 492, 期号: 1, 页码: 48
作者:  Dong, Zhao;  Zhang, Rangrang
收藏  |  浏览/下载:182/0  |  提交时间:2020/11/18
Stochastic 3D tamed Navier-Stokes equations  Levy noise  Large deviations  Weak convergence method  
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:197/0  |  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  
On stiff problems via Dirichlet forms 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2020, 卷号: 56, 期号: 3, 页码: 2051-2080
作者:  Li, Liping;  Sun, Wenjie
收藏  |  浏览/下载:148/0  |  提交时间:2020/09/23
Stiff problems  Phase transitions  Dirichlet forms  Mosco convergences  Snapping out Markov processes  
Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations 期刊论文
POTENTIAL ANALYSIS, 2020, 卷号: 53, 期号: 1, 页码: 183-202
作者:  Dong, Zhao;  Zhang, Rangrang;  Zhang, Tusheng
收藏  |  浏览/下载:158/0  |  提交时间:2020/09/23
Freidlin-Wentzell's large deviations  Quailinear stochastic partial differential equations  Weak convergence approach  
A criterion on a repeller being a null set of any limit measure for stochastic differential equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 18
作者:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa
收藏  |  浏览/下载:165/0  |  提交时间:2020/05/24
stationary measure  limit measure  support  Lyapunov function  repelling limit cycle  repelling quasi-periodic orbits  
Estimates of the Difference Between Two Probability Densities of Wiener Functionals and Its Application 期刊论文
JOURNAL OF THEORETICAL PROBABILITY, 2020, 页码: 27
作者:  Cao, Guilan;  He, Kai
收藏  |  浏览/下载:154/0  |  提交时间:2020/05/24
Donsker's delta function  Nondegenerate  Integration by parts  Non-Markovian SDE  Convergence rate  
LARGE DEVIATION PRINCIPLES FOR FIRST-ORDER SCALAR CONSERVATION LAWS WITH STOCHASTIC FORCING 期刊论文
ANNALS OF APPLIED PROBABILITY, 2020, 卷号: 30, 期号: 1, 页码: 324-367
作者:  Dong, Zhao;  Wu, Jiang-Lun;  Zhang, Rangrang;  Zhang, Tusheng
收藏  |  浏览/下载:156/0  |  提交时间:2020/05/24
Large deviations  first-order conservation laws  weak convergence approach  kinetic solution