Epidemic Automaton and the Eden Model: Various Aspects of Robustness

  • Lucas GerinEmail author
Part of the Emergence, Complexity and Computation book series (ECC, volume 27)


The two-dimensional probabilistic cellular automaton Epidemic models the spread of an epidemic without recovering on graph. We discuss some well-known and less well-known properties of Epidemic on a finite grid and its analogous on the infinite square lattice: the Eden model. This survey is intended for non-probabilists and gives a detailed study of the robustness of a cellular automaton with respect to several sources of randomness.



I am grateful to two anonymous referees for their careful reading of the first version of this article.


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Authors and Affiliations

  1. 1.CMAP, École PolytechniquePalaiseau CedexFrance

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