Bootstrap percolation, a model of irreversible activation on graphs, has emerged as a pivotal area within graph theory and statistical mechanics. In this process, nodes (or vertices) on a network are ...

In this paper we investigate first passage percolation on an inhomogeneous random graph model introduced by Bollobás et al. (2007). Each vertex in the graph has a type from a type space, and edge ...

We consider a version of continuum long-range percolation on finite boxes of ℝd in which the vertex set is given by the points of a Poisson point process and each pair of two vertices at distance r is ...