215 citations · 811 across the 24 of their papers we have counts for
7 papers · 1 filter
A Bottom-Up Model of Self-Organized Criticality on Networks
Pierre-André Noël, Charles D. Brummitt, Raissa M. D'Souza
The Bak-Tang-Wiesenfeld (BTW) sandpile process is an archetypal, stylized model of complex systems with a critical point as an attractor of their dynamics. This phenomenon, called…
Controlling Self-Organizing Dynamics on Networks Using Models that Self-Organize
Pierre-André Noël, Charles D. Brummitt, Raissa M. D'Souza
Controlling self-organizing systems is challenging because the system responds to the controller. Here we develop a model that captures the essential self-organizing mechanisms of…
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…
Propagation dynamics on networks featuring complex topologies
Laurent Hébert-Dufresne, Pierre-André Noël, Vincent Marceau +2
Analytical description of propagation phenomena on random networks has flourished in recent years, yet more complex systems have mainly been studied through numerical means. In thi…
Adaptive networks: coevolution of disease and topology
Vincent Marceau, Pierre-André Noël, Laurent Hébert-Dufresne +2
Adaptive networks have been recently introduced in the context of disease propagation on complex networks. They account for the mutual interaction between the network topology and…