Publications
Research articles · Preprints · Commentary & Essays
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Research highlights & commentary
2024
Uncovering Networks in Rainforest Plants
Commentary by Philip Ball · Physics 17, 68
2023
A zoom lens for networks
News & Views by Konstantin Klemm · Nature Physics 19, 318-319
Journal Articles
2026
Asymptotic versus mesoscopic spectral dimensions in networks and inhomogeneous structures
L. Grimaldi, P. Villegas, A. Vezzani, R. Burioni, D. Cassi & A. Gabrielli · Phys. Rev. E 114, L022301
Non-normal dynamics on nonreciprocal networks: Reactivity and effective dimensionality in neural circuits
A. Poggialini, S. di Santo, P. Villegas, A. Gabrielli & M. A. Muñoz · Phys. Rev. E 114, 024301
Higher-order contagion processes in 3.99 dimensions
S. Meloni, A. Gabrielli & P. Villegas · Phys. Rev. E 113, L062301
Geometric Criticality in Scale-Invariant Networks
L. Lucarini, G. Cimini & P. Villegas · Phys. Rev. Research 8, 013330
2025
Topological protection breakdown: A route to frustrated ferroelectricity
L. Falsi, P. Villegas, T. Gili, A. J. Agranat & E. DelRe · Phys. Rev. Research 7, 043038
Strange attractors in complex networks
P. Villegas · Phys. Rev. E 111, L042301
Networks with many structural scales: a Renormalization Group perspective
A. Poggialini, P. Villegas, M. A. Muñoz & A. Gabrielli · Phys. Rev. Lett. 134, 057401
Multi-scale Laplacian community detection in heterogeneous networks
P. Villegas, A. Gabrielli, A. Poggialini & T. Gili · Phys. Rev. Research 7, 013065
2024
Laplacian renormalization group: an introduction to heterogeneous coarse-graining
G. Caldarelli, A. Gabrielli, T. Gili & P. Villegas · J. Stat. Mech. 084002
Evidence of scale-free clusters of vegetation in tropical rainforestsEditor’s suggestionFeatured in Physics
P. Villegas, T. Gili, G. Caldarelli & A. Gabrielli · Phys. Rev. E 109, L042402
2023
Laplacian Renormalization Group for heterogeneous networksCoverNews & Views
P. Villegas, T. Gili, G. Caldarelli & A. Gabrielli · Nat. Phys. 19, 445-450
2022
Laplacian paths in complex networks: information core emerges from entropic transitions
P. Villegas, A. Gabrielli, F. Santucci, G. Caldarelli & T. Gili · Phys. Rev. Research 4, 033196
Characterizing spatial point processes by percolation transitions
P. Villegas, T. Gili, A. Gabrielli & G. Caldarelli · J. Stat. Mech. 073202
The broad edge of synchronization: Griffiths effects and collective phenomena in brain networks
V. Buendía, P. Villegas, R. Burioni & M. A. Muñoz · Phil. Trans. R. Soc. A 380: 20200424
Marginal speed confinement resolves the conflict between correlation and control in collective behaviour
A. Cavagna, A. Culla, X. Feng, I. Giardina, T. S. Grigera, W. Kion-Crosby, S. Melillo, G. Pisegna, L. Postiglione & P. Villegas · Nat. Commun. 13, 2315
2021
Emergent spatial patterns of coexistence in species-rich plant communities
P. Villegas, T. Gili & G. Caldarelli · Phys. Rev. E 104, 034305
Hybrid-type synchronization transitions: Where incipient oscillations, scale-free avalanches, and bistability live together
V. Buendía, P. Villegas, R. Burioni & M. A. Muñoz · Phys. Rev. Research 3(2), 023224
CoMo: A novel co-moving 3D camera system
A. Cavagna, X. Feng, S. Melillo, L. Parisi, L. Postiglione & P. Villegas · IEEE Trans. Instrum. Meas. 70, 1-16
Joint assessment of density correlations and fluctuations for analysing spatial tree patterns
P. Villegas, A. Cavagna, M. Cencini, H. Fort & T. S. Grigera · R. Soc. Open Sci. 8(1), 202200
2020
Self-organized bistability and its possible relevance for brain dynamics
V. Buendía, S. di Santo, P. Villegas, R. Burioni & M. A. Muñoz · Phys. Rev. Research 2, 013318
Evolution in the Debian GNU/Linux software network: analogies and differences with gene regulatory networks
P. Villegas, M. A. Muñoz & J. A. Bonachela · J. R. Soc. Interface 17(163), 20190845
2019
Jensen’s force and the statistical mechanics of cortical asynchronous states
V. Buendía, P. Villegas, S. di Santo, A. Vezzani, R. Burioni & M. A. Muñoz · Sci. Rep. 9, 15183
Time-series thresholding and the definition of avalanche size
P. Villegas, S. di Santo, R. Burioni & M. A. Muñoz · Phys. Rev. E 100, 012133
2018
Non-normality, reactivity, and intrinsic stochasticity in neural dynamics: a non-equilibrium potential approach
S. di Santo, P. Villegas, R. Burioni & M. A. Muñoz · J. Stat. Mech. Theory Exp. 2018(7), 073402
Landau-Ginzburg theory of cortex dynamics: scale-free avalanches emerge at the edge of synchronization
S. di Santo*, P. Villegas*, R. Burioni & M. A. Muñoz · Proc. Natl. Acad. Sci. USA 115(7), E1356-E1365 · *Joint first authors
2017
Simple unified view of branching process statistics: Random walks in balanced logarithmic potentials
S. di Santo, P. Villegas, R. Burioni & M. A. Muñoz · Phys. Rev. E 95(3), 032115
2016
Intrinsic noise and deviations from criticality in Boolean gene-regulatory networks
P. Villegas, J. Ruiz-Franco, J. Hidalgo & M. A. Muñoz · Sci. Rep. 6, 34743
Complex synchronization patterns in the human connectome network
P. Villegas, J. Hidalgo, P. Moretti & M. A. Muñoz · Proceedings of ECCS 2014, pp. 69-80
2014
Interfacial depinning transitions in disordered media: revisiting an old puzzle
B. Moglia, E. Albano, P. Villegas & M. A. Muñoz · J. Stat. Mech. Theory Exp. 2014(10), P10024
Frustrated hierarchical synchronization and emergent complexity in the human connectome network
P. Villegas, P. Moretti & M. A. Muñoz · Sci. Rep. 4, 5990
Preprints & Under Review
2026
Is higher-order physics different?
P. Villegas & S. Meloni · arXiv:2609.20759
Two-mode geometry controls multiscale organization in bipartite systems
O. Falconi, G. Cimini & P. Villegas · arXiv:2605.06208
The Synergistic Route to Stretched Criticality
L. Lucarini, S. Meloni & P. Villegas · arXiv:2604.28003
Structural coarse-graining enables noise-robust functional connectivity and reveals hidden inter-subject variability
I. Fernandez-Iriondo, A. Jimenez-Marin, J. Cortes & P. Villegas · arXiv:2602.08910
2025
Chladni states in Ising Spin Lattices
G. Iannelli & P. Villegas · arXiv:2507.05961
Topological Symmetry Breaking in Antagonistic Dynamics
G. Iannelli, P. Villegas, T. Gili & A. Gabrielli · arXiv:2504.00144
Opinion & essays
2026
Centralismo de derechos para una España plurinacional
P. Villegas · Mundo Obrero
2019
La asfixia de la universidad española: signo de un problema estructural
P. Villegas & S. Aldana · El Salto Diario
2018
Lecciones extraídas del conflicto en la investigación
S. Aldana & P. Villegas · Agitación