The reviewed record of science sign in
Pith

arxiv: 2004.04720 · v2 · pith:2M2SGOBI · submitted 2020-04-09 · math.PR · math-ph· math.MP

Lecture notes on the Gaussian Free Field

Wendelin Werner , Ellen Powell This is my paper

Reviewed by Pithpith:2M2SGOBIopen to challenge →

classification math.PR math-phmath.MP
keywords notescontinuumauthorbrownianfieldfirstfreegaussian
0
0 comments X
read the original abstract

The Gaussian Free Field (GFF) in the continuum appears to be the natural generalisation of Brownian motion, when one replaces time by a multidimensional continuous parameter. The goal of these lecture notes is to describe some aspects of the continuum GFF and of its discrete counterpart defined on lattices, with the aim of providing a gentle self-contained introduction to some recent developments on this topic, such as the relation between the continuum GFF, Brownian loop-soups and the Conformal Loop Ensembles CLE(4). This is an updated and expanded version of the notes written by the first author for graduate courses at ETH Z\"urich. The exercises that are interspersed in the first half of these notes mostly originate from the exercise sheets prepared by the second author for this course in 2018.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. A dichotomy theory for the height functions of the BKT transition

    math.PR 2022-11 unverdicted novelty 7.0

    The paper establishes a dichotomy for height functions at the BKT transition: localization yields exponential covariance decay while delocalization forces at least logarithmic variance growth with a universal positive...