2 papers
math.OA2026
Free versions of the strong SzegÅ limit theorem
Michael T. Jury, Lodewyk J. van Rensburg, George Roman
The Strong SzegÅ Limit Theorem is a theorem about the asymptotics of the determinants of large Toeplitz matrices. It can be reformulated as a probabilistic statement about eigenva…
math.FA2025
Determinants of Random Unitary Pencils
Michael T. Jury, George Roman
We investigate determinants of random unitary pencils (with scalar or matrix coefficients), which generalize the characteristic polynomial of a single unitary matrix. In particular…