49 citations · 156 across the 29 of their papers we have counts for
41 papers
Limiting eigenvalue distribution and entropy of multi-Toeplitz matrices
Michael T. Jury, Arya Gayathri Memana
We state and prove a version of Szegő's first limit theorem for multi-Toeplitz operators acting in the full Fock space in letters. In particular we show that the eigenval…
Free versions of the strong Szegő limit theorem
Michael T. Jury, Lodewyk J. van Rensburg, George Roman
The Strong Szegő Limit Theorem is a theorem about the asymptotics of the determinants of large Toeplitz matrices. It can be reformulated as a probabilistic statement about eigenval…
Completely Positive Matrix Products
Eric Evert, Michael T. Jury, Scott McCullough
Building on recent works that investigate positivity preserving matrix products, we {examine} the class of \JCP (\jcp) matrix products. A bilinear map on the Cartesian product of t…
A note on homotopies of rational matrix inner functions
Michael T. Jury
We show that when , the space of -matrix-valued rational inner functions in the disk is path connected.
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…
Positivity conditions on the annulus via the double-layer potential kernel
Michael T. Jury, Georgios Tsikalas
We introduce and study a scale of operator classes on the annulus that is motivated by the classes of -contractions of Nagy and Foiaş. In particular, our classes…