Speaker
Description
Heterogeneous and complex networks represent the intertwined
interactions between real-world elements or agents. Determining the
multi-scale mesoscopic organization of clusters and intertwined
structures is still a fundamental and open problem of complex network
theory. By taking advantage of the recent Laplacian Renormalization
Group [1-4] approach , we scrutinize information diffusion pathways
throughout networks to shed further light on this issue. Based on inter-
node communicability, our definition provides a clear-cut framework for
resolving the multi-scale mesh of structures in complex networks,
disentangling their intrinsic arboreal architecture. Then we move to
adapt the LRG framework to signed networks up to show its usefulness to
tackle the issue connected with balancing, frustration and spin glass
transition [5]
[1] P Villegas, T Gili, G Caldarelli, A Gabrielli, Laplacian
renormalization group for heterogeneous networks, Nature Physics 19 (3),
445-450 (2023)
[2] A. Gabrielli, D. Garlaschelli, S.P. Patil & M.Á. Serrano, Network
renormalization, Nature Reviews Physics 7, 203–219 (2025) volu7,
__pages
[3] A. Poggialini, P. Villegas, M.A. Munoz, A. Gabrielli, Networks with
Many Structural Scales: A Renormalization Group Perspective, Phys. Rev.
Lett. 134, 057401 (2025)
[4] P. Villegas, A. Gabrielli, A. Poggialini, T. Gili, Multi-scale
Laplacian community detection in heterogeneous networks, Phys. Rev. Res.
7, 013065 (2025)
[5] G. Iannelli, P. Villegas, T. Gili, A. Gabrielli, Topological
Symmetry Breaking in Antagonistic Dynamics,
https://arxiv.org/abs/2009.11024
