4 papers · 2 filters
Competitive displacement in the grass-bushes-trees process on a scale-free network
John Fernley, Daniel Valesin
The grass-bushes-trees process is a two-type contact process in which the types face asymmetric birth mechanisms. Vertices of a graph can either be occupied by a tree, occupied by…
Percolation of the contact process on the regular tree
John Fernley, Emmanuel Jacob
The contact process on the regular tree when has the two phase transitions of global and of local survival, found by Pemantle and Liggett at values a…
The voter model on the hyperbolic graph
John Fernley, Christian Hirsch
We consider the voter model on the giant component of a hyperbolic random graph, which is a spatial scale-free network, in the sparse and linear-giant regime . We find…
The contact process on a bipartite spatial network
John Fernley, Christian Hirsch, Daniel Valesin
We study the contact process on a random bipartite connection hypergraph generated from two Poisson point processes, with mark-dependent connection thresholds. For asymmetric infec…