3 papers
math.PR2026
Second Order Asymptotics for the Hard Wall Probability of the 2D Harmonic Crystal
Maximilian Fels, Oren Louidor, Tianqi Wu
We estimate the probability that the discrete Gaussian free field on a planar domain with Dirichlet boundary conditions stays positive in the bulk. Improving upon the result by Bol…
math.PR2024
Gaussian free field on the tree subject to a hard wall I: Bounds
Maximilian Fels, Lisa Hartung, Oren Louidor
This is the first in a series of two works which study the discrete Gaussian free field on the binary tree when all leaves are conditioned to be positive. In this work, we obtain s…
math.PR2024
Gaussian free field on the tree subject to a hard wall II: Asymptotics
Maximilian Fels, Lisa Hartung, Oren Louidor
This is the second in a series of two works which study the discrete Gaussian free field on the binary tree when all leaves are conditioned to be positive. In the first work ("Gaus…