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
  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
  4. Functional reducibility of higher-order networks, 2024 M. Lucas, L. Gallo, A. Ghavasieh, F. Battiston, and M. De Domenico

journal articles

  1. Hamiltonian control to desynchronize Kuramoto oscillators with higher-order interactions, Physical Review E, 2025 M. Moriamé, M. Lucas, and T. Carletti
  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
  3. Higher-order Laplacian Renormalization, Nature Physics, 2025 M. Nurisso, M. Morandini, M. Lucas, F. Vaccarino, T. Gili, and G. Petri
  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
  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
  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
  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
  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
  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
  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
  11. Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes, Nature Communications, 2023 Y. Zhang*, M. Lucas*, and F. Battiston
  12. Simplicially driven simple contagion, Physical Review Research, 2023 M. Lucas*, I. Iacopini*, T. Robiglio, A. Barrat, and G. Petri
  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
  14. Stabilization of cyclic processes by slowly varying forcing, Chaos, 2021 J. Newman, M. Lucas, and A. Stefanovska
  15. Multiorder Laplacian for synchronization in higher-order networks, Physical Review Research, 2020 M. Lucas, G. Cencetti, and F. Battiston
  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
  17. Nonautonomous driving induces stability in network of identical oscillators, Physical Review E, 2019 M. Lucas, D. Fanelli, and A. Stefanovska
  18. Desynchronization induced by time-varying network, Europhys. Lett., 2018 M. Lucas, D. Fanelli, T. Carletti, and J. Petit
  19. Stabilization of dynamics of oscillatory systems by nonautonomous perturbation, Physical Review E, 2018 M. Lucas, J. Newman, and A. Stefanovska
  20. Verifying the Steane code with Quantomatic, Electronic Proceedings in Theoretical Computer Science, 2014 R. Duncan and M. Lucas

book chapters

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

theses

  1. Synchronisation and stability in nonautonomous oscillatory systems, Lancaster University and University of Florence, 2019 M. Lucas
  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