A characterisation of the continuum Gaussian free field in arbitrary dimensions

DOI10.5802/jep.201zbMath1502.60038arXiv2103.07273OpenAlexW4283714435WikidataQ114013355 ScholiaQ114013355MaRDI QIDQ2154280

Ellen Powell, Juhan Aru

Publication date: 19 July 2022

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.07273

zbMATH Keywords

Brownian motionMarkov propertyGaussian fieldsGaussian free fieldcharacterisation theorem

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Brownian motion (60J65)

Related Items (1)

Thick points of the planar GFF are totally disconnected for all \(\gamma \neq 0\)

Cites Work

• Unnamed Item
• Liouville quantum gravity on the Riemann sphere
• Imaginary geometry. III: Reversibility of \(\mathrm{SLE}_\kappa\) for \(\kappa \in (4,8)\)
• Liouville quantum gravity and KPZ
• Dominos and the Gaussian free field.
• \((1+\varepsilon)\) moments suffice to characterise the GFF
• A characterisation of the Gaussian free field
• Dimers and imaginary geometry
• On homogenization and scaling limit of some gradient perturbations of a massless free field
• Gaussian free fields for mathematicians
• Uniform Lipschitz functions on the triangular lattice have logarithmic variations
• Harmonic Function Theory
• SLE and the free field: Partition functions and couplings
• Brownian Excursions from Hyperplanes and Smooth Surfaces
• Foundations of Modern Probability
• The Noise in the Circular Law and the Gaussian Free Field

This page was built for publication: A characterisation of the continuum Gaussian free field in arbitrary dimensions