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math.PR2020★ 26 cited
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.PR2020★ 11 cited
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…