Extreme values for two-dimensional discrete Gaussian free field
Probability
2013-04-09 v3
Abstract
We consider in this paper the collection of near maxima of the discrete, two dimensional Gaussian free field in a box with Dirichlet boundary conditions. We provide a rough description of the geometry of the set of near maxima, estimates on the gap between the two largest maxima, and an estimate for the right tail up to a multiplicative constant on the law of the centered maximum.
Cite
@article{arxiv.1206.0346,
title = {Extreme values for two-dimensional discrete Gaussian free field},
author = {Jian Ding and Ofer Zeitouni},
journal= {arXiv preprint arXiv:1206.0346},
year = {2013}
}
Comments
29 pages. Minor revisions upon previous version