3.2k citations · 5.9k across the 54 of their papers we have counts for
4 papers · 2 filters
On Watts' Cascade Model with Random Link Weights
T. R. Hurd, James P. Gleeson
We study an extension of Duncan Watts' 2002 model of information cascades in social networks where edge weights are taken to be random, an innovation motivated by recent applicatio…
Binary-state dynamics on complex networks: pair approximation and beyond
James P. Gleeson
A wide class of binary-state dynamics on networks---including, for example, the voter model, the Bass diffusion model, and threshold models---can be described in terms of transitio…
Dynamics on Modular Networks with Heterogeneous Correlations
Sergey Melnik, Mason A. Porter, Peter J. Mucha +1
We develop a new ensemble of modular random graphs in which degree-degree correlations can be different in each module and the inter-module connections are defined by the joint deg…
Cascades on clique-based graphs
Adam Hackett, James P. Gleeson
We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of highly-clustered random graphs introduced by Gleeson…