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math.PR2026
Airy limit for the Jack process and topological expansion
Jiaming Xu
For every , we establish multi-time soft-edge moment convergence for a class of Jack processes, including the Jack--Plancherel process, a discrete -analogue of Dyson Browni…
math.PR2026
Perturbed Beta Corners Process
Leonid Petrov, Jiaming Xu
We introduce and study the perturbed -corners process, a deformation of the classical -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 Laguerre beta-ensemble with parameter converges to the process as whe…