Ballot Theorems for the Two-Dimensional Discrete Gaussian Free Field
Probability
2020-12-22 v1
Abstract
We provide uniform bounds and asymptotics for the probability that a two-dimensional discrete Gaussian free field on an annulus-like domain and with Dirichlet boundary conditions stays negative as the ratio of the radii of the inner and the outer boundary tends to infinity.
Cite
@article{arxiv.2012.11467,
title = {Ballot Theorems for the Two-Dimensional Discrete Gaussian Free Field},
author = {Stephan Gufler and Oren Louidor},
journal= {arXiv preprint arXiv:2012.11467},
year = {2020}
}
Comments
99 pages, 0 figures