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.GT2025
Approaching the prescribed Gaussian curvature by discrete conformality
Ziran Liu, Tianqi Wu
We propose a discrete approach for approximating solutions to the prescribed Gaussian curvature problem in two-dimensional manifolds, based on the notion of discrete conformality.…
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…