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Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载:127/0  |  提交时间:2021/01/14
Stochastic Cahn-Hilliard equation  Unbounded noise diffusion  Malliavin calculus  Numerical approximation  Strong convergence rate  
Mean field linear-quadratic control: Uniform stabilization and social optimality 期刊论文
AUTOMATICA, 2020, 卷号: 121, 页码: 14
作者:  Wang, Bing-Chang;  Zhang, Huanshui;  Zhang, Ji-Feng
收藏  |  浏览/下载:135/0  |  提交时间:2021/01/14
Mean field game  Variational analysis  Stabilization control  FBSDE  Riccati equation  
Backward Stochastic Differential Equations Driven byG-Brownian Motion with Double Reflections 期刊论文
JOURNAL OF THEORETICAL PROBABILITY, 2020, 页码: 30
作者:  Li, Hanwu;  Song, Yongsheng
收藏  |  浏览/下载:146/0  |  提交时间:2021/01/14
G-expectation  Reflected backward SDE  Approximate Skorohod condition  
Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2020, 页码: 12
作者:  Barbu, Viorel;  Roeckner, Michael
收藏  |  浏览/下载:133/0  |  提交时间:2021/01/14
Fokker-Planck equation  Mild solution  Distributional solution  
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:130/0  |  提交时间:2020/09/23
ergodic theory  stochastic differential equation  Fokker-Planck equation  stationary measure  physical measure  mesoscopic limit  
Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2020, 页码: 31
作者:  Gordina, Maria;  Roeckner, Michael;  Teplyaev, Alexander
收藏  |  浏览/下载:149/0  |  提交时间:2020/09/23
Ornstein-Uhlenbeck process  Singular perturbation  Nonlinear infinite-dimensional stochastic differential equations  Non-Lipschitz monotone coefficients  Girsanov theorem  
On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 8, 页码: 1463-1504
作者:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa;  Zhai, Jianliang
收藏  |  浏览/下载:170/0  |  提交时间:2020/09/23
stationary measure  Lyapunov function  limit measure  support  Birkhoff center  stochastic evolution system  
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:169/0  |  提交时间:2020/09/23
Freidlin-Wentzell's large deviations  Quailinear stochastic partial differential equations  Weak convergence approach  
Highly Accurate Numerical Schemes for Stochastic Optimal Control Via FBSDEs 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 296-319
作者:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载:152/0  |  提交时间:2020/05/24
Forward backward stochastic differential equations  stochastic optimal control  stochastic maximum principle  projected quasi-Newton methods  
How does Gauge Cooling Stabilize Complex Langevin? 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 27, 期号: 5, 页码: 1344-1377
作者:  Cai, Zhenning;  Di, Yana;  Dong, Xiaoyu
收藏  |  浏览/下载:136/0  |  提交时间:2020/05/24
Complex Langevin method  gauge cooling  Polyakov loop