94 citations · 94 across the 7 of their papers we have counts for
7 papers
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…
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…
On the reconstruction limits of complex networks
Charles Murphy, Ariane 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…
Firing rate distributions in plastic networks of spiking neurons
Marina Vegué, Antoine Allard, Patrick Desrosiers
In recurrent networks of leaky integrate-and-fire (LIF) neurons, mean-field theory has proven successful in describing various statistical properties of neuronal activity at equili…
The hidden geometry of weighted complex networks
Antoine Allard, M. Ángeles Serrano, Guillermo García-Pérez +1
The topology of many real complex networks has been conjectured to be embedded in hidden metric spaces, where distances between nodes encode their likelihood of being connected. Be…