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If we consider the contact process with infection rate λ on a random graph on n vertices with power law degree distributions, mean field calculations suggest that the critical value λ c of the… (More)

We introduce a new kind of percolation on finite graphs called jigsaw percolation. This model attempts to capture networks of people who innovate by merging ideas and who solve problems by piecing… (More)

We consider the discrete time threshold-θ contact process on a random r-regular graph. We show that if θ≥2, r≥θ+2, ϵ1 is small and p≥p1(ϵ1), then starting from all vertices occupied the fraction of… (More)

Although much of the focus of statistical works on networks has been on static networks, multiple networks are currently becoming more common among network data sets. Usually, a number of network… (More)

We consider a model of long-range first-passage percolation on the d-dimensional square lattice in which any two distinct vertices are connected by an edge having exponentially distributed passage… (More)

- Shirshendu Chatterjee, Rick Durrett
- Random Struct. Algorithms
- 2009

We consider a model for gene regulatory networks that is a modification of Kauffmann's (1969) random Boolean networks. There are three parameters: $n =$ the number of nodes, $r =$ the number of… (More)

Aldous (2007) defined a gossip process in which space is a discrete NN torus, and the state of the process at time t is the set of individuals who know the information. Information spreads from a… (More)

We consider a model for gene regulatory networks that is a modification of Kaumann’s (1969) random Boolean networks. There are three parameters: n = the number of nodes, r = the number of inputs to… (More)

Abstract Static recrystallisation kinetics during hot deformation of two microalloyed steels (C–Ti–V and C–Ti–Nb) has been quantified. Double hit compression test using a Gleeble 1500… (More)