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Large N Limit of the O(N) Linear Sigma Model in 3D 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 页码: 57
作者:  Shen, Hao;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载:103/0  |  提交时间:2023/02/07
New Laplacian comparison theorem and its applications to diffusion processes on Riemannian manifolds 期刊论文
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2022, 页码: 24
作者:  Kuwae, Kazuhiro;  Li, Xiang-Dong
收藏  |  浏览/下载:134/0  |  提交时间:2022/04/29
LARGE N LIMIT OF THE O(N) LINEAR SIGMA MODEL VIA STOCHASTIC QUANTIZATION 期刊论文
ANNALS OF PROBABILITY, 2022, 卷号: 50, 期号: 1, 页码: 131-202
作者:  Shen, Hao;  Smith, Scott A.;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载:143/0  |  提交时间:2022/04/29
O(N) linear sigma model  Phi(4)  mean-field limit  stochastic quantization  space-time white noise  
Imaging of buried obstacles in a two-layered medium with phaseless far-field data 期刊论文
INVERSE PROBLEMS, 2021, 卷号: 37, 期号: 5, 页码: 26
作者:  Li, Long;  Yang, Jiansheng;  Zhang, Bo;  Zhang, Haiwen
收藏  |  浏览/下载:177/0  |  提交时间:2021/06/01
two-layered medium  buried obstacle  phaseless far-field data  direct imaging method  recursive Newton-type iteration algorithm  
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:162/0  |  提交时间:2020/09/23
stationary measure  Lyapunov function  limit measure  support  Birkhoff center  stochastic evolution system  
The scale -invariant space for attention layer in neural network 期刊论文
NEUROCOMPUTING, 2020, 卷号: 392, 页码: 1-10
作者:  Wang, Yue;  Liu, Yuting;  Ma, Zhi-Ming
收藏  |  浏览/下载:170/0  |  提交时间:2020/06/30
Energy conditional measures and 2D turbulence 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 卷号: 61, 期号: 1, 页码: 22
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载:154/0  |  提交时间:2020/05/24
Regular Dirichlet extensions of one-dimensional Brownian motion 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2019, 卷号: 55, 期号: 4, 页码: 1815-1849
作者:  Li, Liping;  Ying, Jiangang
收藏  |  浏览/下载:151/0  |  提交时间:2020/05/24
Regular Dirichlet extensions  Regular Dirichlet subspaces  Trace Dirichlet forms  Diffusion processes  
Averaging principle for one dimensional stochastic Burgers equation 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 10, 页码: 4749-4797
作者:  Dong, Zhao;  Sun, Xiaobin;  Xiao, Hui;  Zhai, Jianliang
收藏  |  浏览/下载:388/0  |  提交时间:2018/10/07
Stochastic Burgers' equation  Averaging principle  Ergodicity  Invariant measure  Strong convergence  Weak convergence  
C-1 WEAK PALIS CONJECTURE FOR NONSINGULAR FLOWS 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 卷号: 38, 期号: 4, 页码: 1809-1832
作者:  Xiao, Qianying;  Zheng, Zuohuan
收藏  |  浏览/下载:135/0  |  提交时间:2019/12/13
Nonsingular flow  Morse-Smale system  away from horseshoe  linear Poincare flow  central model