EVENT DETAILS AND ABSTRACT

Title: Mesoscopic central limit theorem for general β-ensembles
Speaker: Asad Lodhia
Speaker Info: University of Michigan
Brief Description:
Special Note:
Abstract:

We prove that the linear statistics of eigenvalues of $\beta$-log gasses satisfying the one-cut and off-critical assumption with a potential $V\inC^6(\mathbb{R})$ satisfy a central limit theorem at all mesoscopic scales $\alpha \in (0;1)$. We prove this for compactly supported test functions $f\in C^5(\mathbb{R})$ using loop equations at all orders along with rigidity estimates.