1 citations · 1 across the 2 of their papers we have counts for
4 papers
Operator level limit of the circular Jacobi -ensemble
Yun Li, Benedek Valkó
We prove an operator level limit for the circular Jacobi -ensemble. As a result, we characterize the counting function of the limit point process via coupled systems of stochast…
Operator level hard-to-soft transition for -ensembles
Laure Dumaz, Yun Li, Benedek Valkó
The soft and hard edge scaling limits of -ensembles can be characterized as the spectra of certain random Sturm-Liouville operators. It has been shown that by tuning the paramet…
Random walk on the randomly-oriented Manhattan lattice
Sean Ledger, Bálint Tóth, Benedek Valkó
In the randomly-oriented Manhattan lattice, every line in is assigned a uniform random direction. We consider the directed graph whose vertex set is a…
Overcrowding asymptotics for the Sine_beta process
Diane Holcomb, Benedek Valkó
We give overcrowding estimates for the Sine_beta process, the bulk point process limit of the Gaussian beta-ensemble. We show that the probability of having at least n points in a…