Showing 2024Show all
3 papers · 1 filter
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…
math.PR2024
On the Growth of the Extremal and Cluster Level Sets in Branching Brownian Motion
Lisa Hartung, Oren Louidor, Tianqi Wu
We study the limiting extremal and cluster point processes of branching Brownian motion. The former records the heights of all extreme values of the process, while the latter recor…