Maximum of the integer-valued Gaussian free field
Probability
2019-07-23 v1
Abstract
We investigate the order of the maximum of the integer-valued Gaussian free field in two dimensions, and show that it grows logarithmically with the size of the box. Our treatment follows closely that of a recent paper by Kharash and Peled on the Fr\"{o}hlich-Spencer proof of the Berezinskii-Kosterlitz-Thouless transition.
Cite
@article{arxiv.1907.08868,
title = {Maximum of the integer-valued Gaussian free field},
author = {Mateo Wirth},
journal= {arXiv preprint arXiv:1907.08868},
year = {2019}
}
Comments
33 pages