publications

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

preprints

  1. Topological analysis of brain dynamical signals indicates signatures of seizure susceptibility
    M. Lucas, D. Francois, C. Donato, A. Skupin, and D. Proverbio
    2025
  2. Functional reducibility of higher-order networks
    M. Lucas, L. Gallo, A. Ghavasieh, F. Battiston, and M. De Domenico
    2024

journal articles

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

book chapters

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

theses

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