Dalang, Robert C.Pu, Fei2024-06-192024-06-192024-06-192024-06-0610.1007/s10959-024-01342-4https://infoscience.epfl.ch/handle/20.500.14299/208777WOS:001242134200001We study the hitting probabilities of the solution to a system of d stochastic heat equations with additive noise subject to Dirichlet boundary conditions. We show that for any bounded Borel set with positive (d-6)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(d-6)$$\end{document}-dimensional capacity, the solution visits this set almost surely.Physical SciencesHitting ProbabilityStochastic Heat EquationsCapacityInvariant Measuretext::journal::journal article::research article