Browsing by Subject "CHAOTIC CHARACTER"

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  • Huang, Jingyu; Nualart, David; Viitasaari, Lauri (2020)
    We consider the one-dimensional stochastic heat equation driven by a multiplicative space-time white noise. We show that the spatial integral of the solution from -R to R converges in total variance distance to a standard normal distribution as R tends to infinity, after renormalization. We also show a functional version of this central limit theorem. (C) 2020 Elsevier B.V. All rights reserved.