Title: Transition in the Microscopic Eigenvalue 
Distribution for Self-Adjoint and Unitary Operators

Abstract: We describe a few classes of self-adjoint and unitary operators 
which exhibit a transition in the distribution of their
eigenvalues. More precisely, we consider operators with various spectral 
measures and investigate the change in their
microscopic eigenvalue distribution. As the spectral measures 
approach an absolutely continuous measure, the repulsion
between the eigenvalues increases and the eigenvalue 
distribution converges to the "clock" (or "picket fence") distribution.