Jiaming Xu

works on

beta-ensembles 1 crystallization 1 gaussian free field 1 interlacing arrays 1 random matrices 1

From the 1 of 2 linked papers with an AI index.

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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 ValkÃ³, Jiaming Xu

We show that the lower edge of the appropriately scaled size $n$ Laguerre beta-ensemble with parameter $a = a_{n}$ converges to the $Airy_{I^}^{2}$ process as $n \to \infty$ wh…