Evaluation of Spectral Zeta-Functions with the Renormalization Group
Mathematical Physics
2017-02-27 v2 math.MP
Abstract
We evaluate spectral zeta-functions of certain network Laplacians that can be treated exactly with the renormalization group. As specific examples we consider a class of Hanoi networks and those hierarchical networks obtained by the Migdal-Kadanoff bond moving scheme from regular lattices. As possible applications of these results we mention quantum search algorithms as well as synchronization, which we discuss in more detail.
Keywords
Cite
@article{arxiv.1607.05168,
title = {Evaluation of Spectral Zeta-Functions with the Renormalization Group},
author = {Stefan Boettcher and Shanshan Li},
journal= {arXiv preprint arXiv:1607.05168},
year = {2017}
}
Comments
24 pages, 7 figures, numerous updates