The survival of the large dimensional basic contact process |
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Authors: | Roberto H Schonmann Maria Eulália Vares |
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Institution: | (1) Instituto de Matemática e Estatística, Universidade de São Paulo, Ag. Iguatemi, C. Postal 20570, São Paulo, SP, Brasil;(2) IMPA-Estrada Dona Castorina 110, Jardim Botânico, 20460 Rio de Janeiro, RJ, Brasil |
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Abstract: | 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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