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


  1. Functional reducibility of higher-order networks
    M. Lucas,  L. Gallo,  A. Ghavasieh,  F. Battiston, and  M. De Domenico
  2. Higher-order Laplacian Renormalization
    M. Nurisso,  M. Morandini,  M. Lucas,  F. Vaccarino,  T. Gili, and  G. Petri
  3. Synergistic signatures of group mechanisms in higher-order systems
    T. Robiglio,  M. Neri,  D. Coppes,  C. Agostinelli,  F. Battiston,  M. Lucas, and  G. Petri
  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
  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

journal articles

  1. Evidence of social learning across symbolic cultural barriers in sperm whales
    A. Leitão,  M. Lucas,  S. Poetto,  T. A. Hersh,  S. Gero,  D. Gruber,  M. Bronstein, and  G. Petri
    eLife, 2024
  2. A unified framework for Simplicial Kuramoto models
    M. Nurisso,  A. Arnaudon,  M. Lucas,  R. L. Peach,  P. Expert,  F. Vaccarino, and  G. Petri
    Chaos, 2024
  3. Phasik: a Python package to identify system states in partially temporal networks
    M. Lucas,  A. Townsend-Teague,  M. Neri,  S. Poetto,  A. Morris,  B. H. Habermann, and  L. Tichit
    J. Open Source Softw., 2023
  4. XGI: A Python package for higher-order interaction networks
    N. W. Landry,  M. Lucas,  I. Iacopini,  G. Petri,  A. Schwarze,  A. Patania, and  L. Torres
    J. Open Source Softw., 2023
  5. Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes
    Y. Zhang*,  M. Lucas*, and  F. Battiston
    Nat. Commun., 2023
  6. Simplicially driven simple contagion
    M. Lucas*,  I. Iacopini*,  T. Robiglio,  A. Barrat, and  G. Petri
    Phys. Rev. Res., 2023
  7. 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  A. Barrat
    Cell Rep. Methods, 2023
  8. Stabilization of cyclic processes by slowly varying forcing
    J. Newman,  M. Lucas, and  A. Stefanovska
    Chaos, 2021
  9. Multiorder Laplacian for synchronization in higher-order networks
    M. Lucas,  G. Cencetti, and  F. Battiston
    Phys. Rev. Res., 2020
  10. Networks beyond pairwise interactions: structure and dynamics
    F. Battiston,  G. Cencetti,  I. Iacopini,  V. Latora,  M. Lucas,  A. Patania,  J.-G. Young, and  G. Petri
    Phys. Rep., 2020
  11. Nonautonomous driving induces stability in network of identical oscillators
    M. Lucas,  D. Fanelli, and  A. Stefanovska
    Phys. Rev. E, 2019
  12. Desynchronization induced by time-varying network
    M. Lucas,  D. Fanelli,  T. Carletti, and  J. Petit
    Europhys. Lett., 2018
  13. Stabilization of dynamics of oscillatory systems by nonautonomous perturbation
    M. Lucas,  J. Newman, and  A. Stefanovska
    Phys. Rev. E, 2018
  14. 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


  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