Abstract
The 2-dimensional massless Gaussian free field (GFF) is a 2-dimensional-time analog of Brownian motion. Just as Brownian motion is a scaling limit of simple random walks and various other 1-dimensional systems, the GFF is a scaling limit of several discrete models for random surfaces. Among these is the discrete Gaussian free field (DGFF), also called the harmonic crystal. We presently discuss the basic definitions and describe the main results of the current work, postponing an overview of the history and general context to §1.3.KeywordsBrownian MotionRandom WalkContour LineStochastic Differential EquationSimple PathThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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