49 citations · 185 across the 23 of their papers we have counts for
26 papers
Network node immunization: improving Netshield algorithm through random rooted forests
Luca Avena, Alexandre Gaudillière, Irina Gurewitsch +2
We are interested in the so-called multiple-node immunization problem for complex networks under attack by a viral agent. It consists in identifying and removing a set of nodes of…
Spectrum Estimation through Kirchhoff Random Forests
Simon Barthelmé, Fabienne Castell, Alexandre Gaudillière +3
Given a non-oriented edge-weighted graph, we show how to make some estimation of the associated Laplacian eigenvalues through Monte Carlo evaluation of spectral quantities computed…
Estimating a graph's spectrum via random Kirchhoff forests
Simon Barthelmé, Fabienne Castell, Alexandre Gaudillière +3
Exact eigendecomposition of large matrices is very expensive, and it is practically impossible to compute exact eigenvalues. Instead, one may set a more modest goal of approaching…
Homogeneous nucleation for two-dimensional Kawasaki dynamics
Simone Baldassarri, Alexandre Gaudillière, Frank den Hollander +3
This is the third in a series of three papers in which we study a lattice gas subject to Kawasaki dynamics at inverse temperature in a large finite box $Λ_β\subset \mathbb{Z}…
Droplet dynamics in a two-dimensional rarefied gas under Kawasaki dynamics
Simone Baldassarri, Alexandre Gaudillière, Frank den Hollander +3
This is the second in a series of three papers in which we study a lattice gas subject to Kawasaki conservative dynamics at inverse temperature in a large finite box $Λ_β\sub…
The Critical Density for Activated Random Walks is always less than 1
Amine Asselah, Nicolas Forien, Alexandre Gaudillière
Activated Random Walks, on for any , is an interacting particle system, where particles can be in either of two states: active or frozen. Each active p…