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
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.