215 citations · 1.8k across the 55 of their papers we have counts for
8 papers · 1 filter
Duality between predictability and reconstructability in complex systems
Charles Murphy, Vincent Thibeault, Antoine Allard +1
Predicting the evolution of a large system of units using its structure of interaction is a fundamental problem in complex system theory. And so is the problem of reconstructing th…
General and exact approach to percolation on random graphs
Antoine Allard, Laurent Hébert-Dufresne, Jean-Gabriel Young +1
We present a comprehensive and versatile theoretical framework to study site and bond percolation on clustered and correlated random graphs. Our contribution can be summarized in t…
Coexistence of phases and the observability of random graphs
Antoine Allard, Laurent Hébert-Dufresne, Jean-Gabriel Young +1
In a recent Letter, Yang et al. [Phys. Rev. Lett. 109, 258701 (2012)] introduced the concept of observability transitions: the percolation-like emergence of a macroscopic observabl…
Bond percolation on a class of correlated and clustered random graphs
Antoine Allard, Laurent Hébert-Dufresne, Pierre-André Noël +2
We introduce a formalism for computing bond percolation properties of a class of correlated and clustered random graphs. This class of graphs is a generalization of the Configurati…
Exact solution of bond percolation on small arbitrary graphs
Antoine Allard, Laurent Hébert-Dufresne, Pierre-André Noël +2
We introduce a set of iterative equations that exactly solves the size distribution of components on small arbitrary graphs after the random removal of edges. We also demonstrate h…
Propagation on networks: an exact alternative perspective
Pierre-André Noël, Antoine Allard, Laurent Hébert-Dufresne +2
By generating the specifics of a network structure only when needed (on-the-fly), we derive a simple stochastic process that exactly models the time evolution of susceptible-infect…