Evaluation of Spectral Zeta-Functions with the Renormalization Group
arXiv:1607.05168 · doi:10.1088/1751-8121/aa5c09
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.
arXiv comment24 pages, 7 figures, numerous updates
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