Fractional moments of the stochastic heat equation
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Publication:2041819
DOI10.1214/20-AIHP1095zbMath1472.60051arXiv1910.09271OpenAlexW3161883806MaRDI QIDQ2041819
Li-Cheng Tsai, Sayan Kumar Das
Publication date: 23 July 2021
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.09271
Heat equation (35K05) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
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Exact lower-tail large deviations of the KPZ equation ⋮ Law of iterated logarithms and fractal properties of the KPZ equation ⋮ Upper tail bounds for stationary KPZ models ⋮ On the valleys of the stochastic heat equation ⋮ Integrability in the weak noise theory ⋮ The stochastic heat equation with multiplicative Lévy noise: existence, moments, and intermittency ⋮ KPZ equation with a small noise, deep upper tail and limit shape ⋮ Fluctuations of the log-gamma polymer free energy with general parameters and slopes ⋮ Limit theorems for time-dependent averages of nonlinear stochastic heat equations ⋮ Upper-tail large deviation principle for the ASEP ⋮ Asymptotics of the density of parabolic Anderson random fields
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