@article{2e31a6d783db4cf9a92020b5e399495d,
title = "Hermite spatial variations for the solution to the stochastic heat equation",
abstract = "In this paper, we study Hermite spatial variations for the solution to the stochastic heat equation with space-time white noise. We prove that these variations satisfy the central limit theorem and we obtain the almost sure central limit theorem.",
keywords = "Central limit theorem, Hermite variations, Malliavin calculus, Space-time white noise, Stochastic heat equation",
author = "H{\'e}ctor Araya and Johanna Garz{\'o}n and Nicol{\'a}s Moreno and Francisco Plaza",
note = "Funding Information: We would like to thank the anonymous referee for his/her helpful reading of our article. This research was partially supported by Project MEC 80190045 and MATHAM-SUD 19-MATH-06. H{\'e}ctor Araya was partially supported by Proyecto Fondecyt PostDoctorado, Chile 3190465. Francisco Plaza was partially supported by Beca CONICYT-PFCHA/DOCTORADOBECAS-CHILE/2018-21182037. Publisher Copyright: {\textcopyright} 2021 Department of Mathematics, University of Osijek.",
year = "2021",
language = "English",
volume = "26",
pages = "253--270",
journal = "Mathematical Communications",
issn = "1331-0623",
publisher = "Udruga Matematicara Osijek",
number = "2",
}