@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",

}