21.7k citations · 22.3k across the 12 of their papers we have counts for
5 papers · 1 filter
The Continuous Skolem-Pisot Problem: On the Complexity of Reachability for Linear Ordinary Differential Equations
Paul Bell, Jean-Charles Delvenne, Raphael Jungers +1
We study decidability and complexity questions related to a continuous analogue of the Skolem-Pisot problem concerning the zeros and nonnegativity of a linear recurrent sequence. I…
On Krause's multi-agent consensus model with state-dependent connectivity (Extended version)
Vincent D. Blondel, Julien M. Hendrickx, John N. Tsitsiklis
We study a model of opinion dynamics introduced by Krause: each agent has an opinion represented by a real number, and updates its opinion by averaging all agent opinions that diff…
The Role of Second Trials in Cascades of Information over Networks
C. de Kerchove, G. Krings, R. Lambiotte +2
We study the propagation of information in social networks. To do so, we focus on a cascade model where nodes are infected with {probability after their first contact with th…
Fast unfolding of communities in large networks
Vincent D. Blondel, Jean-Loup Guillaume, Renaud Lambiotte +1
We propose a simple method to extract the community structure of large networks. Our method is a heuristic method that is based on modularity optimization. It is shown to outperfor…
Geographical dispersal of mobile communication networks
Renaud Lambiotte, Vincent D. Blondel, Cristobald de Kerchove +4
In this paper, we analyze statistical properties of a communication network constructed from the records of a mobile phone company. The network consists of 2.5 million customers th…