Evaluation of Spectral Zeta-Functions with the Renormalization Group

Stefan Boettcher, Shanshan Li

Published 2016-07-18Version 1

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. These results are applied to synchronization and to quantum search algorithms.