Global eigenvalue distribution of matrices defined by the skew-shift

Arka Adhikari, Marius Lemm, Horng-Tzer Yau

We consider large Hermitian matrices whose entries are defined by evaluating the exponential function along orbits of the skew-shift $\left(\genfrac{}{}{0ex}{}{j}{2}\right)\omega +jy+x\mathrm{mod}1$ for irrational $\omega$…