From the 1 of 2 linked papers with an AI index.
2 papers
math.PR2026
Perturbed Beta Corners Process
Leonid Petrov, Jiaming Xu
The authors define a perturbed β‑corners process by adding a deterministic diagonal matrix to Gaussian random matrices, extend the construction to all β>0, and analyze its large‑β…
math.PR2026
Soft edge limit of the Laguerre beta-ensemble at the lower edge
Yun Li, Benedek Valkó, Jiaming Xu
We show that the lower edge of the appropriately scaled size Laguerre beta-ensemble with parameter converges to the process as wh…