Rigidity of eigenvalues for $\beta$ ensemble in multi-cut regime

Yiting Li

For a $\beta$ ensemble on ${\Sigma }^{(N)}=\{(x_1,\dots ,x_N){\mathbb{R}}^N|x_1\le \cdots \le x_N\}$ with real analytic potential and general $\beta >0$, under the assumption that its equilibrium measur…