5 papers
A Probabilistic Proof for Stable Fluctuations in the Extremal Process of Branching Brownian Motion
Lisa Hartung, Oren Louidor, Tianqi Wu
We give a probabilistic proof for the emergence of the Stable- Law for the random fluctuations of the mass of the extremal process of branching Brownian Motion away from its tip…
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…
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…
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…
The Structure of Extreme Level Sets in Branching Brownian Motion
Aser Cortines, Lisa Hartung, Oren Louidor
We study the structure of extreme level sets of a standard one dimensional branching Brownian motion, namely the sets of particles whose height is within a fixed distance from the…