A characterisation of the Gaussian free field

DOI10.1007/s00440-019-00939-9zbMath1434.60271arXiv1802.01195OpenAlexW3125364953MaRDI QIDQ2174671

Ellen Powell, Gourab Ray, Nathanaël Berestycki

Publication date: 21 April 2020

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01195

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (5)

A characterisation of the continuum Gaussian free field in arbitrary dimensions ⋮ Random walks on mated-CRT planar maps and Liouville Brownian motion ⋮ Equivalence of Liouville measure and Gaussian free field ⋮ Conformal symmetries in the extremal process of two-dimensional discrete Gaussian free field ⋮ \((1+\varepsilon)\) moments suffice to characterise the GFF

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