“…For random Verblunsky coefficients, the works [11,27] show a transition from Poisson to clock behavior via asymptotic β-ensemble statistics (indeed showing, in this particular case, a correlation between measure continuity and local repulsion). From a slightly different perspective, the papers [7,13,20,22] study the connection between regularity properties of {α n } ∞ n=0 and these spacings. In particular [13] obtain sufficient conditions ensuring clock behavior, whereas [7,22] obtain global upper bounds on the spacing depending on the decay rate of {α n } ∞ n=0 .…”