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A Cellular Automaton

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Abstract

Cellular automata are widely used in mathematical physics and in theoretical biology. These systems start from a random state and evolve using deterministic rules. We concentrate on a specific model in this chapter. The techniques we use are similar to the ones used in percolation.

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References

  • Durrett, R.: Probability Theory and Examples, 4th edn. Cambridge University Press, Cambridge (2010)

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  • Schonmann, R.: On the behavior of some cellular automata related to bootstrap percolation. Ann. Probab. 20, 174–193 (1992)

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Schinazi, R.B. (2014). A Cellular Automaton. In: Classical and Spatial Stochastic Processes. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-1869-0_11

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