Metzler/Zeta Correspondence
Combinatorics
2022-07-04 v2
Abstract
We present an explicit formula for the determinant on the Metzler matrix of a digraph . Furthermore, we introduce a walk-type zeta function with respect to this Metzler matrix of the symmetric digraph of a finite torus, and express its limit formula by using the integral expression.
Cite
@article{arxiv.2205.00457,
title = {Metzler/Zeta Correspondence},
author = {Yusuke Ide and Takashi Komatsu and Norio Konno and Iwao Sato},
journal= {arXiv preprint arXiv:2205.00457},
year = {2022}
}
Comments
16 pages