Global Fluctuations for Linear Statistics of β-Jacobi Ensembles

Ioana Dumitriu, Elliot Paquette

We study the global fluctuations for linear statistics of the form ${\sum }_{i=1}^{n}f({\lambda }_i)$ as $n\to \infty$, for $C^1$ functions $f$, and ${\lambda }_1,...,{\lambda }_n$ being the eigenvalu…