26 citations · 67 across the 6 of their papers we have counts for
6 papers
Spacetime limit shapes of the KPZ equation in the upper tails
Yier Lin, Li-Cheng Tsai
We consider the -point, fixed-time large deviations of the KPZ equation with the narrow wedge initial condition. The scope consists of concave-configured, upper-tail deviations…
A lower-tail limit in the weak noise theory
Yier Lin, Li-Cheng Tsai
We consider the variational problem associated with the Freidlin--Wentzell Large Deviation Principle of the Stochastic Heat Equation (SHE). The logarithm of the minimizer of the va…
KPZ equation with a small noise, deep upper tail and limit shape
Pierre Yves Gaudreau Lamarre, Yier Lin, Li-Cheng Tsai
In this paper, we consider the KPZ equation under the weak noise scaling. That is, we introduce a small parameter in front of the noise and let $\varepsilon \t…
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…
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…
KPZ equation limit of stochastic higher spin six vertex model
Yier Lin
We consider the stochastic higher spin six vertex (SHS6V) model introduced in [Corwin-Petrov, 2016] with general integer spin parameters . Starting from near stationary initi…