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A natural extension of Markov processes and applications to singular SDEs 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2020, 卷号: 56, 期号: 4, 页码: 2480-2506
作者:  Beznea, Lucian;  Cimpean, Iulian;  Rockner, Michael
收藏  |  浏览/下载:127/0  |  提交时间:2021/01/14
Stochastic differential equation on Hilbert spaces  Stochastic PDE  Martingale problem  Not allowed starting point  Girsanov transform  Nonregular drift  Dirichlet form  Right process  Fine topology  
Quantum Strassen's theorem 期刊论文
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2020, 卷号: 23, 期号: 3, 页码: 29
作者:  Friedland, Shmuel;  Ge, Jingtong;  Zhi, Lihong
收藏  |  浏览/下载:113/0  |  提交时间:2021/04/26
Density matrices and operators  quantum marginals  quantum couplings  trace class operators  Hilbert-Schmidt operators  partial traces and weak operator convergence  SDP problems related to quantum marginals  Hausdorff metric  
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  
Approximate Controllability and Approximate Observability of Singular Distributed Parameter Systems 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 卷号: 65, 期号: 5, 页码: 2294-2299
作者:  Ge, Zhaoqiang;  Ge, Xiaochi;  Zhang, Jifeng
收藏  |  浏览/下载:154/0  |  提交时间:2020/06/30
Controllability  Distributed parameter systems  Observability  Germanium  Space heating  Mathematical model  Hilbert space  Approximate controllability  approximate observability  distributional solution  singular distributed parameter systems  
Conditional probability estimation based classification with class label missing at random 期刊论文
JOURNAL OF MULTIVARIATE ANALYSIS, 2020, 卷号: 176, 页码: 13
作者:  Sheng, Ying;  Wang, Qihua
收藏  |  浏览/下载:162/0  |  提交时间:2020/05/24
Binary classification  Conditional probability estimation  Missing at random  Reproducing kernel Hilbert space  
Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2020, 卷号: 402, 页码: 14
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:161/0  |  提交时间:2020/05/24
Nonlocal mKdV equation  Non-zero boundary conditions  Riemann surface  Inverse scattering transform  Matrix Riemann-Hilbert problem  Solitons  
Dynamic and static feedback control for second order infinite-dimensional systems 期刊论文
ASIAN JOURNAL OF CONTROL, 2020, 页码: 10
作者:  Wei, Jing;  Guo, Bao-Zhu
收藏  |  浏览/下载:149/0  |  提交时间:2020/05/24
dynamic feedback  stability  static feedback  
OPTIMAL CONTROL OF NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS ON HILBERT SPACES 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 卷号: 58, 期号: 4, 页码: 2383-2410
作者:  Barbu, Viorel;  Rockner, Michael;  Zhang, Deng
收藏  |  浏览/下载:141/0  |  提交时间:2020/11/18
stochastic differential equations  optimal control  Kolmogorov operators  
Eigenvalues of a Differential Operator and Zeros of the Riemann $\\zeta $-Function 期刊论文
Analysis in Theory and Applications, 2020, 卷号: 36, 期号: 3, 页码: 283-294
作者:  Ge Liming;  Li Xianjin;  Wu Dongsheng;  Xue Boqing
收藏  |  浏览/下载:125/0  |  提交时间:2021/04/26
Hilbert-Polya space  zeros of zeta function  differential operator  eigenvalue