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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
Singular HJB equations with applications to KPZ on the real line 期刊论文
PROBABILITY THEORY AND RELATED FIELDS, 2022, 页码: 81
作者:  Zhang, Xicheng;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载:35/0  |  提交时间:2023/02/07
Singular SPDEs  HJB equations  KPZ equations  Paracontrolled distributions  Global well-posedness  Zvonkin's transformation  
Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment 期刊论文
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 卷号: 73, 期号: 2, 页码: 27
作者:  Cheng, Chengcheng;  Zheng, Zuohuan
收藏  |  浏览/下载:128/0  |  提交时间:2022/04/29
Almost periodic  Free boundary  Principal Lyapunov exponent  Spreading-vanishing  Asymptotic spreading speed  
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  
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  
On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations 期刊论文
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2021, 页码: 65
作者:  Hofmanova, Martina;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载:120/0  |  提交时间:2022/04/02
Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 1, 页码: 24
作者:  Cheng, Chengcheng;  Zheng, Zuohuan
收藏  |  浏览/下载:165/0  |  提交时间:2021/01/14
West Nile virus  Advection  Free boundary  Basic reproduction number  Vanishing-spreading  Asymptotic spreading speed  
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:141/0  |  提交时间:2021/04/26
Stochastic heat equation  Ricci Curvature  functional inequality  quasi-regular Dirichlet form  infinite volume  
A new metric for statistical properties of long time behaviors 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 4, 页码: 2741-2773
作者:  Zheng, Liqi;  Zheng, Zuohuan
收藏  |  浏览/下载:176/0  |  提交时间:2020/06/30
Generic point  Unique ergodicity  Time average  Weak mean equicontinuity  
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