377 citations · 1.3k across the 25 of their papers we have counts for
7 papers · 1 filter
Fast fixation without fast networks
G. J. Baxter, R. A. Blythe, A. J. McKane
We investigate the dynamics of a broad class of stochastic copying processes on a network that includes examples from population genetics (spatially-structured Wright-Fisher models…
Avalanche Collapse of Interdependent Network
G. J. Baxter, S. N. Dorogovtsev, A. V. Goltsev +1
We reveal the nature of the avalanche collapse of the giant viable component in multiplex networks under perturbations such as random damage. Specifically, we identify latent criti…
Voter Model with Time dependent Flip-rates
G. J. Baxter
We introduce time variation in the flip-rates of the Voter Model. This type of generalisation is relevant to models of ageing in language change, allowing the representation of cha…
Heterogeneous-k-core versus Bootstrap Percolation on Complex Networks
G. J. Baxter, S. N. Dorogovtsev, A. V. Goltsev +1
We introduce the heterogeneous--core, which generalizes the -core, and contrast it with bootstrap percolation. Vertices have a threshold which may be different at each…
Bootstrap Percolation on Complex Networks
G J Baxter, S N Dorogovtsev, A V Goltsev +1
We consider bootstrap percolation on uncorrelated complex networks. We obtain the phase diagram for this process with respect to two parameters: , the fraction of vertices initi…
Fixation and consensus times on a network: a unified approach
G. J. Baxter, R. A. Blythe, A. J. McKane
We investigate a set of stochastic models of biodiversity, population genetics, language evolution and opinion dynamics on a network within a common framework. Each node has a stat…