# Mathematical Sciences Research Institute

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# Seminar

On Pair Counting Statistics in Circular Beta Ensembles of Random Matrices November 22, 2021 (02:00 PM PST - 03:00 PM PST)
Parent Program: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Alexander Soshnikov (University of California, Davis)
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Video

#### On Pair Counting Statistics In Circular Beta Ensembles Of Random Matrices

Abstract/Media

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We study limiting distribution of statistics $\sum_{1\leq i\neq j\leq N} f(L_N(\theta_i-\theta_j))$ for Circular Beta Ensembles in the local ($L_N=N$), mesoscopic ($1<<L_N<<N$) and global ($L_N=1$) regimes. This is a joint work with Ander Aguirre and Josh Sumpter.