An SPDE approach to perturbation theory of Φ 2 4: Asymptoticity and short distance behavior

Hao Shen , Rongchan Zhu , Xiangchan Zhu
The Annals of Applied Probability 33 ( 4) 2600 -2642

12
2023
A new derivation of the finite N master loop equation for lattice Yang-Mills

Hao Shen , Scott A Smith , Rongchan Zhu ,
Electronic Journal of Probability 29 1 -18

9
2024
A stochastic analysis approach to lattice Yang–Mills at strong coupling

Hao Shen , Rongchan Zhu , Xiangchan Zhu
Communications in Mathematical Physics 400 ( 2) 805 -851

8
2023
Large $ N $ limit and $1/N $ expansion of invariant observables in $ O (N) $ linear $\sigma $-model via SPDE

Hao Shen , Rongchan Zhu , Xiangchan Zhu
arXiv preprint arXiv:2306.05166

2
2023
Global well-posedness for 2D generalized Parabolic Anderson Model via paracontrolled calculus

Hao Shen , Rongchan Zhu , Xiangchan Zhu
arXiv preprint arXiv:2402.19137

1
2024
Langevin dynamics of lattice Yang-Mills-Higgs and applications

Hao Shen , Rongchan Zhu , Xiangchan Zhu
arXiv preprint arXiv:2401.13299

2024
The dynamical sine-Gordon model in the full subcritical regime

Ajay Chandra , Martin Hairer , Hao Shen
arXiv preprint arXiv:1808.02594

41
2018
Some recent progress in singular stochastic partial differential equations

Ivan Corwin , Hao Shen
Bulletin of the American Mathematical Society 57 ( 3) 409 -454

39
2020
Stochastic quantization of an Abelian gauge theory

Hao Shen
Communications in Mathematical Physics 384 ( 3) 1445 -1512

28
2021
Weak universality of dynamical Φ^ 4_3 Φ 3 4: non-Gaussian noise

Hao Shen , Weijun Xu
Stochastics and Partial Differential Equations: Analysis and Computations 6 211 -254

26
2018
Stochastic Ricci flow on compact surfaces

Julien Dubédat , Hao Shen
International Mathematics Research Notices 2022 ( 16) 12253 -12301

17
2022
Invariant measure and universality of the 2D Yang-Mills Langevin dynamic

Ilya Chevyrev , Hao Shen
arXiv preprint arXiv:2302.12160

13
2023
Some recent progress in singular stochastic PDEs

Ivan Corwin , Hao Shen
arXiv preprint arXiv:1904.00334

11
2019
3
2022