publications

The symbol ‘*’ indicates that the authors contributed equally.

preprints

  1. On the state-nonstate theory of hypnosis: Network and topological EEG findings, 2025 in press at Cerebral Cortex — M. Lucas*, N. Aime*, A. Callara, L. Fontanelli, L. Sebastiani, L. Santarcangelo, and G. Petri
  2. Collective dynamics on higher-order networks, 2025 — F. Battiston, C. Bick, M. Lucas, A. P. Millán, P. S. Skardal, and Y. Zhang
    | preprint |
  3. Topological analysis of brain dynamical signals indicates signatures of seizure susceptibility, 2025 in press at Physical Review Research — M. Lucas, D. Francois, L. Mombaerts, C. Donato, A. Skupin, and D. Proverbio
    | preprint |
  4. Functional reducibility of higher-order networks, 2024 — M. Lucas, L. Gallo, A. Ghavasieh, F. Battiston, and M. De Domenico
    | preprint | Code |

journal articles

  1. Hamiltonian control to desynchronize Kuramoto oscillators with higher-order interactions, Physical Review E, 2025 — M. Moriamé, M. Lucas, and T. Carletti
    | PAPER | preprint |
  2. 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
    | PAPER | preprint |
  3. Higher-order Laplacian Renormalization, Nature Physics, 2025 — M. Nurisso, M. Morandini, M. Lucas, F. Vaccarino, T. Gili, and G. Petri
    | PAPER | preprint | Code |
  4. Higher-order connectomics of human brain function reveals local topological signatures of task decoding, individual identification, and behavior, Nature Communications, 2024 — A. Santoro, F. Battiston, M. Lucas, G. Petri, and E. Amico
    | PAPER | preprint |
  5. Deeper but smaller: Higher-order interactions increase linear stability but shrink basins, Science Advances, 2024 — Y. Zhang, P. S. Skardal, F. Battiston, G. Petri, and M. Lucas
    | PAPER | preprint | Code |
  6. On the Benefits of Heterogeneity in Cognitive Stability and Flexibility for Collaborative Task Switching, Proceedings of the Annual Meeting of the Cognitive Science Society, 2024 — A. Brondetta, A. Bizyaeva, M. Lucas, G. Petri, and S. Musslick
    | PAPER |
  7. Evidence of social learning across symbolic cultural barriers in sperm whales, eLife, 2024 — A. Leitão, M. Lucas, S. Poetto, T. A. Hersh, S. Gero, D. Gruber, M. Bronstein, and G. Petri
    | PAPER | preprint |
  8. A unified framework for Simplicial Kuramoto models, Chaos, 2024 — M. Nurisso, A. Arnaudon, M. Lucas, R. L. Peach, P. Expert, F. Vaccarino, and G. Petri
    | PAPER | preprint |
  9. Phasik: a Python package to identify system states in partially temporal networks, Journal of Open Source Software, 2023 — M. Lucas, A. Townsend-Teague, M. Neri, S. Poetto, A. Morris, B. H. Habermann, and L. Tichit
    | PAPER | Code |
  10. 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
    | PAPER | Code |
  11. Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes, Nature Communications, 2023 — Y. Zhang*, M. Lucas*, and F. Battiston
    | PAPER | preprint | Code |
  12. Simplicially driven simple contagion, Physical Review Research, 2023 — M. Lucas*, I. Iacopini*, T. Robiglio, A. Barrat, and G. Petri
    | PAPER | preprint |
  13. Inferring cell cycle phases from a partially temporal network of protein interactions, Cell Reports Methods, 2023 — M. Lucas, A. Morris, A. Townsend-Teague, L. Tichit, B. H. Habermann, and A. Barrat
    | PAPER | preprint | Code |
  14. Stabilization of cyclic processes by slowly varying forcing, Chaos, 2021 — J. Newman, M. Lucas, and A. Stefanovska
    | PAPER | Code |
  15. Multiorder Laplacian for synchronization in higher-order networks, Physical Review Research, 2020 — M. Lucas, G. Cencetti, and F. Battiston
    | PAPER | preprint | Code |
  16. Networks beyond pairwise interactions: structure and dynamics, Physics Reports, 2020 — F. Battiston, G. Cencetti, I. Iacopini, V. Latora, M. Lucas, A. Patania, J.-G. Young, and G. Petri
    | PAPER | preprint |
  17. Nonautonomous driving induces stability in network of identical oscillators, Physical Review E, 2019 — M. Lucas, D. Fanelli, and A. Stefanovska
    | PAPER | preprint |
  18. Desynchronization induced by time-varying network, Europhys. Lett., 2018 — M. Lucas, D. Fanelli, T. Carletti, and J. Petit
    | PAPER | preprint |
  19. Stabilization of dynamics of oscillatory systems by nonautonomous perturbation, Physical Review E, 2018 — M. Lucas, J. Newman, and A. Stefanovska
    | PAPER | preprint |
  20. Verifying the Steane code with Quantomatic, Electronic Proceedings in Theoretical Computer Science, 2014 — R. Duncan and M. Lucas
    | PAPER |

book chapters

  1. Multiorder Laplacian for Kuramoto Dynamics with Higher-Order Interactions, In Higher-Order Systems, 2022 — M. Lucas, G. Cencetti, and F. Battiston
    | PAPER |
  2. Synchronisation and Non-autonomicity, In Physics of Biological Oscillators, 2021 — M. Lucas, J. Newman, and A. Stefanovska
    | PAPER |
  3. Non-asymptotic-time Dynamics, In Physics of Biological Oscillators, 2021 — J. Newman, M. Lucas, and A. Stefanovska
    | PAPER |

theses

  1. Synchronisation and stability in nonautonomous oscillatory systems, Lancaster University and University of Florence, 2019 — M. Lucas
    | PAPER | PDF |
  2. Instabilities in cortical networks with embedded synfire chains, Katholieke Universiteit Leuven, 2015 — M. Lucas
  3. Instabilités dynamiques de systèmes de billards avec interactions rares, Université Libre de Bruxelles, 2014 — M. Lucas