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- W3041191327 abstract "We consider the $(1+1)$-dimensional stochastic heat equation (SHE) with multiplicative white noise and the Cole-Hopf solution of the Kardar-Parisi-Zhang (KPZ) equation. We show an exact way of computing the Lyapunov exponents of the SHE for a large class of initial data which includes any bounded deterministic positive initial data and the stationary initial data. As a consequence, we derive exact formulas for the upper tail large deviation rate functions of the KPZ equation for general initial data." @default.
- W3041191327 created "2020-07-16" @default.
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- W3041191327 date "2020-07-13" @default.
- W3041191327 modified "2023-10-01" @default.
- W3041191327 title "Lyapunov exponents of the SHE for general initial data" @default.
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