Probability Seminar

Title: Scaling limits of the Laguerre unitary ensemble
Speaker: Xuan Wu
Speaker Info: University of Chicago
Brief Description:
Special Note:

In this talk, we will discuss the LUE, focusing on the scaling limits. On the hard-edge side, we construct the $\alpha$-Bessel line ensemble for all $\alpha \in \mathbb{N}_0$. This novel Gibbsian line ensemble enjoys the $\alpha$-squared Bessel Gibbs property. Moreover, all $\alpha$-Bessel line ensembles can be naturally coupled together in a Bessel field, which enjoys rich integrable structures. We will also talk about work in progress on the soft-edge side, where we expect to have the Airy field as the scaling limit. This talk is based on joint works with Lucas Benigni, Pei-Ken Hung.
Date: Tuesday, October 11, 2022
Time: 4:00PM
Where: Lunt 107
Contact Person: Antonio Auffinger
Contact email: tuca@northwestern.edu
Contact Phone:
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