Ask a Question

Prefer a chat interface with context about you and your work?

Large deviations and the Lukic conjecture

Large deviations and the Lukic conjecture

We use the large deviation approach to sum rules pioneered by Gamboa, Nagel and Rouault to prove higher order sum rules for orthogonal polynomials on the unit circle. In particular, we prove one half of a conjectured sum rule of Lukic in the case of two singular points, one simple …