A shape theorem for the spread of an infection

  title={A shape theorem for the spread of an infection},
  author={Harry Kesten and Vladas Sidoravicius},
  journal={Annals of Mathematics},
In [KSb] we studied the following model for the spread of a rumor or infection: There is a “gas” of so-called A-particles, each of which performs a continuous time simple random walk on Z d , with jump rate DA. We assume that “just before the start” the number of A-particles at x, NA(x, 0−), has a mean μA Poisson distribution and that the NA(x, 0−) ,x ∈ Z d , are independent. In addition, there are B-particles which perform continuous time simple random walks with jump rate DB. We start with a… Expand

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