Work

Geometric criticality in scale-invariant networks

Year: 2026

Type: article

Abstract: Dimension in physical systems determines universal properties at criticality. Yet, the impact of structural perturbations on dimensionality remains largely unexplored. Here, we characterize the attraction basins of structural fixed points in scale-invariant networks from a renormalization group perspective, demonstrating that basin stability connects to a structural phase transition. This topology-dependent effect, which we term , triggers a geometric breakdown hitherto unknown, which induces nontrivial fractal dimensions and unveils hidden Laplacian renormalization group flows toward unstable structural fixed points. Our systematic study of how networks and lattices respond to disorder paves the way for future analysis of nonergodic behavior induced by quenched disorder.

Source: Physical Review Research

DOI: 10.1103/75gt-z6x6

Authors: Lorenzo Lucarini, Giulio Cimini, Pablo Villegas

Institutions: University of Rome Tor Vergata, Centro Ricerche Enrico Fermi, Universidad de Granada

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,625

Funders: European Regional Development Fund, Agencia Estatal de Investigación