Summary
We consider the d-dimensional basic contact process obtaining the limit value of the probability of survival when d→+∞, and showing that the finite dimensional distributions of the upper invariant measure become of the product form as d→+∞.
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Schonmann, R.H., Vares, M.E. The survival of the large dimensional basic contact process. Probab. Th. Rel. Fields 72, 387–393 (1986). https://doi.org/10.1007/BF00334192
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DOI: https://doi.org/10.1007/BF00334192