Publications (16)
Classification of Stationary distributions for the stochastic vertex models
Yier Lin
In this paper, we study the stationary distributions for the stochastic vertex models. Our main focus is the stochastic six vertex (S6V) model. We show that the extremal stationary…
Exact Multi-Point Correlations in the Stochastic Heat Equation for Strictly Sublinear Coordinates
Pierre Yves Gaudreau Lamarre, Yier Lin
We consider the Stochastic Heat Equation (SHE) in dimensions with delta Dirac initial data and spacetime white noise. We prove exact large-time asymptotics for multi-point…
Strong law of large numbers for the stochastic six vertex model
Hindy Drillick, Yier Lin
We consider the inhomogeneous stochastic six vertex model with periodicity starting from step initial data. We prove that it converges almost surely to a deterministic limit shape.…
Lyapunov exponents of the half-line SHE
Yier Lin
We consider the half-line stochastic heat equation (SHE) with Robin boundary parameter . Under narrow wedge initial condition, we compute every positive (includin…
Lyapunov exponents of the SHE for general initial data
Promit Ghosal, Yier Lin
We consider the -dimensional stochastic heat equation (SHE) with multiplicative white noise and the Cole-Hopf solution of the Kardar-Parisi-Zhang (KPZ) equation. We show an…
Short time large deviations of the KPZ equation
Yier Lin, Li-Cheng Tsai
We establish the Freidlin--Wentzell Large Deviation Principle (LDP) for the Stochastic Heat Equation with multiplicative noise in one spatial dimension. That is, we introduce a sma…