Aru, JuhanPowell, Ellen2022-08-012022-08-012022-08-012022-01-0110.5802/jep.201https://infoscience.epfl.ch/handle/20.500.14299/189563WOS:000822268000002We prove that under certain mild moment and continuity assumptions, the d-dimensional continuum Gaussian free field is the only stochastic process satisfying the usual domain Markov property and a scaling assumption. Our proof is based on a decomposition of the underlying functional space in terms of radial processes and spherical harmonics.Mathematics&nbspgaussian free fieldgaussian fieldsmarkov propertybrownian motioncharacterisa-tion theoremtext::journal::journal article::research article