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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：149/0  |  提交时间：2022/04/29
O(N) linear sigma model  Phi(4)  mean-field limit  stochastic quantization  space-time white noise  
Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space 期刊论文
POTENTIAL ANALYSIS, 2021, 页码: 36
作者:  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/02
Phi(4)(3) model  Paracontrolled distributions  Weak universality  Space-time white noise  Renormalisation  
Stochastic mSQG equations with multiplicative transport noises: White noise solutions and scaling limit 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2021, 卷号: 140, 页码: 236-286
作者:  Luo, Dejun;  Zhu, Rongchan
收藏  |  浏览/下载：110/0  |  提交时间：2022/04/02
Modified Surface Quasi-Geostrophic equation  Transport noise  White noise solution  Scaling limit  Weak convergence  
Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 2, 页码: 21
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载：169/0  |  提交时间：2021/01/14
Point vortices  Navier-Stokes equations  Space-time white noise  Vorticity formulation  Weak convergence  
On the Small Time Asymptotics of the Dynamical Phi(4)(1) Model 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2020, 页码: 11
作者:  Chen, Bing Guang;  Zhu, Xiang Chan
收藏  |  浏览/下载：125/0  |  提交时间：2021/01/14
Phi(4)(1) model  space-time white noise  small time asymptotics  large deviation  
Piecewise linear approximation for the dynamical Phi(4)(3) model 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 2, 页码: 381-410
作者:  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：145/0  |  提交时间：2020/05/24
regularity structure  space-time white noise  stochastic partial differential equations  renormalization  
Ergodicity for a class of semilinear stochastic partial differential equations 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 页码: 20
作者:  Dong, Zhao;  Zhang, Rangrang
收藏  |  浏览/下载：196/0  |  提交时间：2020/05/24
invariant measures  irreducibility  semilinear partial differential equations  space-time white noise  strong Feller property  
rho-White noise solution to 2D stochastic Euler equations 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2019, 卷号: 175, 期号: 3-4, 页码: 783-832
作者:  Flandoli, Franco;  Luo, Dejun
收藏  |  浏览/下载：151/0  |  提交时间：2020/05/24
White noise  2D Euler equations  Multiplicative noise  Fokker-Planck equation  Gradient estimates  
Concentration and limit behaviors of stationary measures 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2018, 卷号: 369, 页码: 1-17
作者:  Huang, Wen;  Ji, Min;  Liu, Zhenxin;  Yi, Yingfei
收藏  |  浏览/下载：149/0  |  提交时间：2018/07/30
Fokker-Planck equation  Stationary measure  Limit measure  Concentration  Stochastic stability  White noise perturbation  
Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 342, 页码: 267-285
作者:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui;  Zhou, Weien
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  White noise dispersion  Stochastic symplectic and multi-symplectic structures  Stochastic symplectic and multi-symplectic schemes