Jiaming Xu

activity

20222026

most citedRandom sorting networks: edge limit

1 citations · 1 across the 5 of their papers we have counts for

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math.PR2026

Airy limit for the Jack process and topological expansion

Jiaming Xu

For every $β > 0$ , we establish multi-time soft-edge moment convergence for a class of Jack processes, including the Jack--Plancherel process, a discrete $β$ -analogue of Dyson Browni…

math.PR2026

Perturbed Beta Corners Process

Leonid Petrov, Jiaming Xu

We introduce and study the perturbed $β$ -corners process, a deformation of the classical $β$ -corners process. The latter is a probability measure on interlacing arrays of real numb…

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 $n$ Laguerre beta-ensemble with parameter $a = a_{n}$ converges to the $Airy_{β}$ process as $n \to \infty$ whe…

math.PR2024

Airy $_{β}$ line ensemble and its Laplace transform

Vadim Gorin, Jiaming Xu, Lingfu Zhang

The Airy $_{β}$ 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…

math.PR2022★ 1 cited

Random sorting networks: edge limit

Vadim Gorin, Jiaming Xu

A sorting network is a shortest path from $12 \dots n$ to $n \dots 21$ in the Cayley graph of the symmetric group $S_{n}$ spanned by adjacent transpositions. The paper comput…

Airy limit for the Jack process and topological expansion

Perturbed Beta Corners Process

Soft edge limit of the Laguerre beta-ensemble at the lower edge

Airyβ​ line ensemble and its Laplace transform

Random sorting networks: edge limit

Airy $_{β}$ line ensemble and its Laplace transform