Evaluation of Spectral Zeta-Functions with the Renormalization Group
  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. 
Stefan Boettcher and Shanshan Li (Emory U)
math-ph math.MP