Matrix convex verbatim enumeration functions are graphical
Combinatorics
2024-01-17 v1 Functional Analysis
Abstract
We give a relation between verbatim generating functions of what we call Pythagorean languages and matrix convexity. Namely, several multivariate matrix convex functions occurring in the existing matrix analysis literature arise naturally in a combinatorial way. We give a Gelfand type formula for the numerical radius.
Cite
@article{arxiv.2401.06932,
title = {Matrix convex verbatim enumeration functions are graphical},
author = {J. E. Pascoe and Ryan Tully-Doyle},
journal= {arXiv preprint arXiv:2401.06932},
year = {2024}
}