Abstract: Bootstrap percolation is a process defined on a graph, which starts with a set S of initially infected vertices. Afterward, at each step, an uninfected vertex with at least r infected ...
Vertices arrive sequentially in space and are joined to existing vertices at random according to a preferential rule combining degree and spatial proximity. We investigate phase transitions in the ...
Advances in Applied Probability, Vol. 45, No. 3 (SEPTEMBER 2013), pp. 876-893 (18 pages) For a family of linear preferential attachment graphs, we provide rates of convergence for the total variation ...
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