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STOCHASTIC HEAT EQUATIONS FOR INFINITE STRINGS WITH VALUES IN A MANIFOLD 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 1, 页码: 407-452
作者:  Chen, Xin;  Wu, Bo;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载:142/0  |  提交时间:2021/04/26
Stochastic heat equation  Ricci Curvature  functional inequality  quasi-regular Dirichlet form  infinite volume  
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:117/0  |  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  
STOCHASTIC HEAT EQUATIONS WITH VALUES IN A MANIFOLD VIA DIRICHLET FORMS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 卷号: 52, 期号: 3, 页码: 2237-2274
作者:  Roeckner, Michael;  Wu, Bo;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载:176/0  |  提交时间:2020/09/23
stochastic heat equation  Ricci curvature  functional inequality  quasi-regular Dirichlet form  
On Representations of Non-Symmetric Dirichlet Forms 期刊论文
POTENTIAL ANALYSIS, 2010, 卷号: 32, 期号: 2, 页码: 101-131
作者:  Hu, Ze-Chun;  Ma, Zhi-Ming;  Sun, Wei
收藏  |  浏览/下载:137/0  |  提交时间:2018/07/30
Non-symmetric Dirichlet form  Beurling-Deny formula  LeJan's transformation rule  Levy-Khintchine type formula  
On Girsanov and generalized Feynman-Kac transformations for symmetric processes 期刊论文
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2007, 卷号: 10, 期号: 2, 页码: 141-163
作者:  Chen, Chuan-Zhong;  Ma, Zhi-Ming;  Sun, Wei
收藏  |  浏览/下载:191/0  |  提交时间:2018/07/30
symmetric Markov process  Dirichlet form  Girsanov transformation  supermartingale  generalized Feynman-Kac semigroup  strong continuity  
Extensions of Levy-Khintchine formula and Beurling-Deny formula in semi-Dirichlet forms setting 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 卷号: 239, 期号: 1, 页码: 179-213
作者:  Hu, Ze-Chun;  Ma, Zhi-Ming;  Sun, Wei
收藏  |  浏览/下载:200/0  |  提交时间:2018/07/30
Levy-Khintchine formula  Beurling-Deny formula  quasi-regular semi-Dirichlet form  local compactification  integral representation  quasi-compatible metric  
The law of large numbers and the law of the iterated logarithm for infinite dimensional interacting diffusion processes 期刊论文
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2003, 卷号: 6, 期号: 3, 页码: 489-503
作者:  Schmuland, B;  Sun, W
收藏  |  浏览/下载:107/0  |  提交时间:2018/07/30
configuration space  Dirichlet form  law of large numbers  law of the iterated logarithm  
Quasi-homeomorphisms and measures of finite energy integrals of generalized Dirichlet forms 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2000, 卷号: 16, 期号: 2, 页码: 325-336
作者:  Sun, W
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
generalized Dirichlet form  quasi-homeomorphism  measure of finite energy integral  
Weak convergence of Dirichlet processes 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1998, 卷号: 41, 期号: 1, 页码: 8-21
作者:  Sun, W
收藏  |  浏览/下载:92/0  |  提交时间:2018/07/30
strictly quasi-regular Dirichlet form  weak convergence  Mosco convergence  s.{E-n}-nest