Comunicazione
Laplacian renormalization group for heterogeneous networks: Information core and entropic transitions.
Gabrielli A., Caldarelli G., Gili T., Villegas P.
Complex networks exhibit a rich architecture over multiple intertwined scales. Information pathways pervade these scales reflecting the hidden complex structural organization, while small-world effects correlate network structures and functional cores complicating their identification. We perform a new analysis of information diffusion in complex networks to shed further light on these issues. This leads us to a formulation of a new and general renormalization group (RG) scheme for heterogeneous networks. RG is the cornerstone of the modern theory of universality and phase transitions, a powerful tool to scrutinize symmetries and correlation scales in physical systems. However, its network counterpart is particularly challenging due to the intrinsic topological heterogeneity. Here, we propose a Laplacian RG diffusion-based picture for complex networks, defining both the real and the momentum space procedure and applying this RG scheme to real networks in a natural and parsimonious way.