Laplacian renormalization group for heterogeneous networks

• DOI: 10.1038/s41567-022-01866-8
• Publication Date: 2023-01-09T17:04:01Z
• Authors: Pablo Villegas; Tommaso Gili; Guido Caldarelli; Andrea Gabrielli
• Keywords: Functional renormalization group

The renormalization group is the cornerstone of modern theory universality and phase transitions, a powerful tool to scrutinize symmetries organizational scales in dynamical systems. However, its network counterpart particularly challenging due correlations between intertwined scales. To date, explorations are based on hidden geometries hypotheses. Here, we propose Laplacian RG diffusion-based picture complex networks, defining both Kadanoff supernodes' concept, momentum space procedure, \emph{\'a la Wilson}, applying this scheme real networks natural parsimonious way.