Almost sure central limit theorems for the parabolic Anderson model with Neumann/Dirichlet/periodic boundary conditions
type: Item
instance of: scholarly article
title: Almost sure central limit theorems for the parabolic Anderson model with Neumann/Dirichlet/periodic boundary conditions
author: Jingyu Li
author: Yong Zhang
author: Wanying Zhang
author: Q6541101
published in: Lithuanian Mathematical Journal
publication date: 2024-10-22T00:00:00Z
review text: The parabolic Anderson model driven by space-time white noise on the interval \([0, k]\) is considered, with Neumann, Dirichlet, or periodic boundary conditions. The spatial averages of the form \(\int_{0}^{k} u^{(k)}(t, x) \, dx\), where \(u^{(k)}(t, x)\) represents the solution to the model, are investigated. The almost sure central limit theorems for these spatial averages are established as \(k\) tends to infinity. The probabilistic properties and asymptotic behavior of the solutions are analyzed under varying boundary conditions. Insights into the statistical structure of the model are derived, contributing to a deeper understanding of its large-scale behavior.
reviewed by: Javad Asadzade
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60H07
Mathematics Subject Classification ID: 60H40
zbMATH DE Number: 7930046
zbMATH Keywords: almost sure central limit theorem
zbMATH Keywords: parabolic Anderson model
zbMATH Keywords: Malliavin calculus
zbMATH Keywords: Neumann/Dirichlet/periodic boundary conditions
MaRDI profile type: Publication
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DOI: 10.1007/S10986-024-09645-Z
description: scientific article; zbMATH DE number 7930046