3 papers
math.PR2022
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…
math.PR2020
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…
math.PR2019
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…