3 papers
math.DS2026
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…
cond-mat.stat-mech2026
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…
cond-mat.stat-mech2024
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…