5 papers
Kuramoto meets Koopman: Constants of motion, symmetries, and network motifs
Vincent Thibeault, Benjamin Claveau, Antoine Allard +1
Conserved quantities in phase-oscillator dynamics are well established for identically coupled oscillators, or groups thereof, but the explicit connectivity conditions under which…
Operator-theoretic approach to the partial integration of randomly coupled phase oscillators
Vincent Thibeault, Benjamin Claveau, Antoine Allard +1
In our previous work [arXiv:2504.06248], we adopted Koopman theory to link the existence of different constants of motion to the presence of specific network motifs of Kuramoto osc…
Harmonic morphisms and dynamical invariants in network renormalization
Francesco Maria Guadagnuolo, Marco Nurisso, Federica Galluzzi +2
Renormalization of complex networks requires principled criteria for assessing whether a coarse-graining preserves dynamical content. We prove that discrete harmonic morphisms -- s…
On the reconstruction limits of complex networks
Charles Murphy, Simon Lizotte, François Thibault +3
Network reconstruction consists in retrieving the hidden interaction structure of a system from observations. Many reconstruction algorithms have been proposed, although less resea…
On the Uniform Sampling of the Configuration Model with Centrality Constraints
François Thibault, Laurent Hébert-Dufresne, Antoine Allard
The Onion Decomposition has recently been shown to provide principled models of complex graphs that better reproduce the sparse networks found in nature, but at the cost of complic…