引用次数
引用: 866
H-指数: 15
I10-指数 : 22
出版物: 35
Langevin dynamic for the 2D Yang-Mills measure
Martin Hairer , Hao Shen , Ilya Chevyrev , Ajay Chandra
arXiv: Probability
32
2020
Local solution to the multi-layer KPZ equation
Hao Shen , Dirk Erhard , Ajay Chandra
Journal of Statistical Physics 175 ( 6) 1080 -1106
2019
Scaling limit of a directed polymer among a Poisson field of independent walks
Hao Shen , Lihu Xu , Rongfeng Sun , Jian Song
Journal of Functional Analysis 281 ( 5) 109066
2021
Open ASEP in the Weakly Asymmetric Regime
Ivan Corwin , Hao Shen
Communications on Pure and Applied Mathematics 71 ( 10) 2065 -2128
39
2018
A central limit theorem for the KPZ equation
Martin Hairer , Hao Shen
Annals of Probability 45 ( 6) 4167 -4221
40
2017
Glauber dynamics of 2D Kac-Blume-Capel model and their stochastic PDE limits
Hao Shen , Hendrik Weber
Journal of Functional Analysis 275 ( 6) 1321 -1367
4
2018
Stochastic telegraph equation limit for the stochastic six vertex model
Hao Shen , Li-Cheng Tsai
Proceedings of the American Mathematical Society 147 ( 6) 2685 -2705
6
2019
ASEP(q,j) converges to the KPZ equation
Ivan Corwin , Hao Shen , Li-Cheng Tsai
Annales De L Institut Henri Poincare-probabilites Et Statistiques 54 ( 2) 995 -1012
59
2018
Moment bounds for SPDEs with non-Gaussian fields and application to the Wong-Zakai problem
Ajay Chandra , Hao Shen
Electronic Journal of Probability 22 1 -32
7
2017
Renormalized powers of Ornstein-Uhlenbeck processes and well-posedness of stochastic Ginzburg-Landau equations
Weinan E , Arnulf Jentzen , Hao Shen
Nonlinear Analysis-theory Methods & Applications 142 152 -193
13
2016
Exact Renormalization Group Analysis of Turbulent Transport by the Shear Flow
Weinan E , Hao Shen
Journal of Statistical Physics 153 ( 4) 553 -571
2013
The Strict-Weak Lattice Polymer
Ivan Corwin , Timo Seppäläinen , Hao Shen
Journal of Statistical Physics 160 ( 4) 1027 -1053
63
2015
A Renormalization Group Method by Harmonic Extensions and the Classical Dipole Gas
Hao Shen
Annales Henri Poincaré 17 ( 4) 861 -911
2016
Stochastic PDE Limit of the Six Vertex Model
Ivan Corwin , Promit Ghosal , Hao Shen , Li-Cheng Tsai
Communications in Mathematical Physics 375 ( 3) 1945 -2038
16
2020
The Dynamical Sine-Gordon Model
Martin Hairer , Hao Shen
Communications in Mathematical Physics 341 ( 3) 933 -989
56
2016
Mean field limit of a dynamical model of polymer systems
Weinan E , Hao Shen
Science China Mathematics 56 ( 12) 2591 -2598
1
2013
Stochastic quantisation of Yang-Mills-Higgs in 3D
Ajay Chandra , Ilya Chevyrev , Martin Hairer , Hao Shen
arXiv preprint arXiv:2201.03487
14
2022
14th January 2023
Roland Bauerschmidt , Massimiliano Gubinelli , Martin Hairer , Hao Shen
Smpte Journal
2023
Large N limit of the O (N) linear sigma model via stochastic quantization
Hao Shen , Scott A Smith , Rongchan Zhu , Xiangchan Zhu
The Annals of Probability 50 ( 1) 131 -202
16
2022
Large N limit of the O (N) linear sigma model in 3D
Hao Shen , Rongchan Zhu , Xiangchan Zhu
Communications in Mathematical Physics 394 ( 3) 953 -1009
14
2022