111 citations · 124 across the 4 of their papers we have counts for
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A phase transition in a model for the spread of an infection
Harry Kesten, Vladas Sidoravicius
We show that a certain model for the spread of an infection has a phase transition in the recuperation rate. The model is as follows: There are particles or individuals of type A a…
A shape theorem for the spread of an infection
Harry Kesten, Vladas Sidoravicius
We consider the following interacting particle system: There is a ``gas'' of particles, each of which performs a continuous time simple random walk on the d-dimensional lattice. Th…
The spread of a rumor or infection in a moving population
Harry Kesten, Vladas Sidoravicius
We consider the following interacting particle system: There is a ``gas'' of particles, each of which performs a continuous-time simple random walk on , with jump rat…
Some highlights of percolation
Harry Kesten
We describe the percolation model and some of the principal results and open problems in percolation theory. We also discuss briefly the spectacular recent progress by Lawler, Schr…