Many systems cannot be fully described just by looking at pairwise connections: they often involve groups of units interacting together. This is what we call higher-order interactions, and they provide a richer picture of how complex systems work.
My research explores these group interactions in real data and models, to see how they shape the structure and behavior of networks. By moving beyond simple links, I aim to understand patterns and dynamics that only emerge when many elements interact at once.
References
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Synergistic signatures of group mechanisms in higher-order systems, Physical Review Letters, 2025 — T. Robiglio, M. Neri, D. Coppes, C. Agostinelli, F. Battiston, M. Lucas, and G. Petri
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Higher-order Laplacian Renormalization, Nature Physics, 2025 — M. Nurisso, M. Morandini, M. Lucas, F. Vaccarino, T. Gili, and G. Petri
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Functional reducibility of higher-order networks, 2024 — M. Lucas, L. Gallo, A. Ghavasieh, F. Battiston, and M. De Domenico
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XGI: A Python package for higher-order interaction networks, Journal of Open Source Software, 2023 — N. W. Landry, M. Lucas, I. Iacopini, G. Petri, A. Schwarze, A. Patania, and L. Torres
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Simplicially driven simple contagion, Physical Review Research, 2023 — M. Lucas*, I. Iacopini*, T. Robiglio, A. Barrat, and G. Petri