5 papers
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…
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…
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…
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.…
Spaces of Geodesic Triangulations Are Cells
Yanwen Luo, Zhenghao Rao, Tianqi Wu +1
It has been shown that spaces of geodesic triangulations of closed negatively curved surfaces are contractible. Here we prove that these spaces are homeomorphic to Euclidean spaces…