@misc{10481/103499, year = {2025}, month = {12}, url = {https://hdl.handle.net/10481/103499}, abstract = {Scale invariance profoundly influences the dynamics and structure of complex systems, spanning from critical phenomena to network architecture. Here, we propose a precise definition of scale-invariant networks by leveraging the concept of a constant entropy-loss rate across scales in a renormalization-group coarse-graining setting. This framework enables us to differentiate between scale-free and scale-invariant networks, revealing distinct characteristics within each class. Furthermore, we offer a comprehensive inventory of genuinely scale-invariant networks, both natural and artificially constructed, demonstrating, e.g., that the human connectome exhibits notable features of scale invariance. Our findings open new avenues for exploring the scale-invariant structural properties crucial in biological and sociotechnological systems.}, organization = {EDRF/EU funds}, organization = {European Union (EU) CUP: F53D23010380001}, organization = {"Ministerio de Ciencia, Innovacion y Universidades" and the "Agencia Estatal de Investigacion (AEI) " under Project Ref. PID2020- 113681 GB-I00 funded by MICIN/AEI/10.13039/501100011033}, organization = {Grant No. PID2023-149174NB-I00 financed by MICIU/AEI/10.13039/501100011033}, publisher = {American Physical Society}, title = {Networks with Many Structural Scales: A Renormalization Group Perspective}, doi = {10.1103/PhysRevLett.134.057401}, author = {Poggialini, Anna and Villegas Góngora, Pablo and Muñoz Martínez, Miguel Ángel and Gabrielli, Andrea}, }