论文标题

二维离散高斯免费场的投票定理

Ballot Theorems for the Two-Dimensional Discrete Gaussian Free Field

论文作者

Gufler, Stephan, Louidor, Oren

论文摘要

我们提供统一的边界和渐近学,原因是二维离散的高斯自由场在类似环形的结构域上,并且在dirichlet边界条件下,由于内部边界的半径和外部边界的半径趋于无限。

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.

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