Hao Shen

activity

20132026

most citedThe dynamical sine-Gordon model

86 citations · 384 across the 29 of their papers we have counts for

collaborators

Showing 2020 · math.PRShow all

3 papers · 2 filters

math.PR2020★ 54 cited

Langevin dynamic for the 2D Yang-Mills measure

Ajay Chandra, Ilya Chevyrev, Martin Hairer +1

We define a natural state space and Markov process associated to the stochastic Yang-Mills heat flow in two dimensions. To accomplish this we first introduce a space of distributio…

math.PR2020

Large $N$ Limit of the $O (N)$ Linear Sigma Model via Stochastic Quantization

Hao Shen, Scott Smith, Rongchan Zhu +1

This article studies large $N$ limits of a coupled system of $N$ interacting $Φ^{4}$ equations posed over $T^{d}$ for $d = 2$ , known as the $O (N)$ linear sigma model. Uniform…

math.PR2020★ 1 cited

Scaling limit of a directed polymer among a Poisson field of independent walks

Hao Shen, Jian Song, Rongfeng Sun +1

We consider a directed polymer model in dimension $1 + 1$ , where the disorder is given by the occupation field of a Poisson system of independent random walks on $Z$ . In a su…

Langevin dynamic for the 2D Yang-Mills measure

Large N Limit of the O(N) Linear Sigma Model via Stochastic Quantization

Scaling limit of a directed polymer among a Poisson field of independent walks

Large $N$ Limit of the $O (N)$ Linear Sigma Model via Stochastic Quantization