Spatial ergodicity and central limit theorems for parabolic Anderson model with delta initial condition

DOI10.1016/j.jfa.2021.109290zbMath1485.60058arXiv2005.10417OpenAlexW3209393640MaRDI QIDQ2056414

Fei Pu, Davar Khoshnevisan, Le Chen, David Nualart

Publication date: 2 December 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10417

zbMATH Keywords

ergodicitycentral limit theoremparabolic Anderson modeldelta initial condition

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Functional limit theorems; invariance principles (60F17)

Related Items (6)

Convergence of densities of spatial averages of stochastic heat equation ⋮ The law of the iterated logarithm for spatial averages of the stochastic heat equation ⋮ An almost sure central limit theorem for the parabolic Anderson model with delta initial condition ⋮ Gaussian fluctuation for spatial average of super-Brownian motion ⋮ Feynman-Kac formula for iterated derivatives of the parabolic Anderson model ⋮ Quantitative central limit theorems for the parabolic Anderson model driven by colored noises

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