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math.PR2025
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…
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…