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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.PR2022★ 1 cited
Large deviations of the KPZ equation via the Stochastic Airy Operator
Li-Cheng Tsai
In this article we review the ideas in Tsai (2018) toward proving the one-point, lower-tail large deviation principle for the Kardar--Parisi--Zhang equation.
math.PR2022★ 9 cited
Integrability in the weak noise theory
Li-Cheng Tsai
We consider the variational problem associated with the Freidlin--Wentzell Large Deviation Principle (LDP) for the Stochastic Heat Equation (SHE). For a general class of initial-te…