Abstract
The objective of the paper is to characterize the Gaussian free field as a stationary solution of the heat equation with additive space-time white noise. In the whole space, the investigation leads to other types of Gaussian fields, as well as interesting phenomena in dimensions one and two.
Citation
S.V. Lototsky. A. Shah. "Gaussian fields and stochastic heat equations." Differential Integral Equations 33 (9/10) 527 - 554, September/October 2020. https://doi.org/10.57262/die/1600135325
