2016/07/31 by Stefan Boettcher, Shanshan Li
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Artificial intelligence #Class (philosophy) #Combinatorics #Computer science #Functional renormalization group #Graph theory and applications #Group (periodic table) #Mathematical analysis #Mathematical physics #Mathematics #Molecular spectroscopy and chirality #Physics #Pure mathematics #Quantum Computing Algorithms and Architecture #Quantum mechanics #Renormalization #Renormalization group #Scheme (mathematics) #Statistical physics #Synchronization (alternating current) #Topology (electrical circuits) #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8121/aa5c09
published as J. Phys. A: Math. Theor. 50, 125003 (2017) · 24 pages, 7 figures, numerous updates
openalex publication_date 2017/01/31 · arxiv created 2017/02/24 · arxiv updated 2017/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.