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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.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
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…