Publications Influence

Share This Author

The Dynamical Sine-Gordon Model

- Martin Hairer, Hao Shen
- Mathematics
- 19 September 2014

We introduce the dynamical sine-Gordon equation in two space dimensions with parameter $${\beta}$$β, which is the natural dynamic associated to the usual quantum sine-Gordon model. It is shown that… Expand

The Strict-Weak Lattice Polymer

- Ivan Corwin, T. Seppäläinen, Hao Shen
- Mathematics
- 5 September 2014

We introduce the strict-weak polymer model, and show the KPZ universality of the free energy fluctuation of this model for a certain range of parameters. Our proof relies on the observation that the… Expand

Open ASEP in the Weakly Asymmetric Regime

- Ivan Corwin, Hao Shen
- Mathematics
- 17 October 2016

We consider ASEP on a bounded interval and on a half‐line with sources and sinks. On the full line, Bertini and Giacomin in 1997 proved convergence under weakly asymmetric scaling of the height… Expand

Stochastic PDE Limit of the Six Vertex Model

- Ivan Corwin, Promit Ghosal, Hao Shen, Li-Cheng Tsai
- MathematicsCommunications in Mathematical Physics
- 21 March 2018

We study the stochastic six vertex model and prove that under weak asymmetry scaling (i.e., when the parameter $$\Delta \rightarrow 1^+$$ Δ → 1 + so as to zoom into the ferroelectric/disordered phase… Expand

ASEP(q,j) converges to the KPZ equation

- Ivan Corwin, Hao Shen, Li-Cheng Tsai
- Mathematics
- 5 February 2016

We show that a generalized Asymmetric Exclusion Process called ASEP(q,j) introduced by Carinci, Giardina, Redig and Sasamoto converges to the Cole-Hopf solution to the KPZ equation under weak… Expand

A central limit theorem for the KPZ equation

- Martin Hairer, Hao Shen
- Mathematics
- 5 July 2015

We consider the KPZ equation in one space dimension driven by a stationary centred space-time random field, which is sufficiently integrable and mixing, but not necessarily Gaussian. We show that, in… Expand

The dynamical sine-Gordon model in the full subcritical regime

- A. Chandra, Martin Hairer, Hao Shen
- Mathematics
- 8 August 2018

We prove that the dynamical sine-Gordon equation on the two dimensional torus introduced in [HS16] is locally well-posed for the entire subcritical regime. At first glance this equation is far out of… Expand

Stochastic Ricci Flow on Compact Surfaces

- Julien Dub'edat, Hao Shen
- Mathematics
- 24 April 2019

In this paper we introduce the stochastic Ricci flow (SRF) in two spatial dimensions. The flow is symmetric with respect to a measure induced by Liouville Conformal Field Theory. Using the theory of… Expand

Moment bounds for SPDEs with non-Gaussian fields and application to the Wong-Zakai problem

- A. Chandra, Hao Shen
- Mathematics
- 18 May 2016

Upon its inception the theory of regularity structures allowed for the treatment for many semilinear perturbations of the stochastic heat equation driven by space-time white noise. When the driving… Expand

...

1

2

3

4

...