Gaussian free fields for mathematicians

Simple item page
dc.creatorSheffield, Scott
dc.date2003-12-04
dc.date2006-11-23
dc.date.accessioned2026-07-07T06:35:50Z
dc.date.available2026-07-07T06:35:50Z
dc.descriptionThe d-dimensional Gaussian free field (GFF), also called the (Euclidean bosonic) massless free field, is a d-dimensional-time analog of Brownian motion. Just as Brownian motion is the limit of the simple random walk (when time and space are appropriately scaled), the GFF is the limit of many incrementally varying random functions on d-dimensional grids. We present an overview of the GFF and some of the properties that are useful in light of recent connections between the GFF and the Schramm-Loewner evolution.
dc.description27 pages, 1 figure. Typos fixed. Abstract Wiener space discussion added
dc.identifierhttps://arxiv.org/abs/math/0312099
dc.identifierhttp://arxiv.org/abs/math/0312099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99916
dc.subjectProbability
dc.subjectMathematical Physics
dc.titleGaussian free fields for mathematicians
dc.typetext

Files

Collections

arXiv