Pablo Villegas

Critical Collective Phenomena

Renormalization and multiscale structure in heterogeneous systems.
Enrico Fermi Research Center · Institute Carlos I (iC1)   ·   Publications   ·   CV
Research
Renormalization and Multiscale Theory
Extending renormalization group ideas through spectral coarse-graining in structured and heterogeneous systems.
Criticality in Complex Systems
Griffiths phases, rare-region effects, memory, and non-ergodic dynamics in disordered systems.
Applications Across Natural Systems
Multiscale analysis of brain dynamics, ecological systems, epidemic processes, and learning architectures.

Selected papers are below. Full list on Publications.

I am a Researcher at CREF working at the interface of statistical physics and complex systems. My research develops a geometric framework for renormalization in structured and heterogeneous systems through the Laplacian Renormalization Group.

This program connects multiscale theory with data-driven analysis across neuroscience, ecology, epidemic dynamics, and artificial intelligence, aiming to establish predictive principles for critical and non-ergodic collective behavior.

Links: Google Scholar · ORCID · GitHub

Selected papers
Laplacian Renormalization Group for heterogeneous networks
2023 · Nat. Phys. 19, 445-450 · P. Villegas, T. Gili, G. Caldarelli & A. Gabrielli · March issue cover; featured in News & Views
Networks with many structural scales: a Renormalization Group perspective
2025 · Phys. Rev. Lett. 134, 057401 · A. Poggialini, P. Villegas, M. A. Muñoz & A. Gabrielli
Topological Symmetry Breaking in Antagonistic Dynamics
2025 · G. Iannelli, P. Villegas, T. Gili & A. Gabrielli

All publications

Contact

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