Lingfu Zhang

activity

20242026

collaborators

4 papers

math.PR2026

A convergence framework for Airy $_{I^}^{2}$ line ensemble via pole evolution

Jiaoyang Huang, Lingfu Zhang

The Airy $_{I^}^{2}$ line ensemble is an infinite sequence of random curves. It is a natural extension of the Tracy-Widom $_{I^}^{2}$ distributions, and is expected to be the universal edge scal…

math.PR2026

Non-Markovianity of $2 K - B$ and a degeneration

Yang Chu, Lingfu Zhang

We study the process of $2 K - B$ , where $B$ is a standard one-dimensional Brownian motion and $K$ is its concave majorant. In light of Pitman's $2 M - B$ theorem, it was recently conjec…

math.PR2025

Characterization of the directed landscape from the KPZ fixed point

Duncan Dauvergne, Lingfu Zhang

We show that the directed landscape is the unique coupling of the KPZ fixed point from all initial conditions satisfying three natural properties: independent increments, monotonic…

math.PR2024

Airy $_{I^}^{2}$ line ensemble and its Laplace transform

Vadim Gorin, Jiaming Xu, Lingfu Zhang

The Airy $_{I^}^{2}$ line ensemble is a random collection of continuous curves, which should serve as a universal edge scaling limit in problems related to eigenvalues of random matrices…

A convergence framework for AiryI^2​ line ensemble via pole evolution

Non-Markovianity of 2K−B and a degeneration

Characterization of the directed landscape from the KPZ fixed point

AiryI^2​ line ensemble and its Laplace transform

A convergence framework for Airy $_{I^}^{2}$ line ensemble via pole evolution

Non-Markovianity of $2 K - B$ and a degeneration

Airy $_{I^}^{2}$ line ensemble and its Laplace transform