Author

Pablo Villegas

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Preprint Oct 2026

The Fiedler dimension of networks of networks: from fractal to small-world architectures

Is the relaxation of a modular network dictated by its modules or by the network that connects them? The answer fixes the time scales of diffusion, consensus, and synchronization, all set by the Fiedler eigenvalue. We show that, for bundled networks, the two levels act one after the other: a random walker must first es...

Lorenzo Grimaldi, Andrea Gabrielli, Pablo Villegas · 0 citations

Preprint Oct 2026

Directed percolation in higher-order social dilemmas

Multiplayer social dilemmas on hypergraphs show a variety of emergent phenomena, which has been attributed to group interactions. Here we test whether pairwise dynamics can reproduce them as well. We derive the mesoscopic Langevin equation of a testbed model and find the operator content of absorbing phase transitions:...

Pablo Villegas, Sandro Meloni · 0 citations

Preprint Sep 2026

Is higher-order physics different?

Group interactions are widespread, and higher-order extensions of familiar models display collective phenomena absent from their pairwise baselines, which are routinely offered as evidence of a distinct higher-order physics. We ask whether that claim survives the test that gives new a precise meaning in statistical phy...

Pablo Villegas, Sandro Meloni · 1 citation