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The survival of the large dimensional basic contact process
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  • Published: June 1986

The survival of the large dimensional basic contact process

  • Roberto H. Schonmann1 &
  • Maria Eulália Vares2 

Probability Theory and Related Fields volume 72, pages 387–393 (1986)Cite this article

  • 94 Accesses

  • 13 Citations

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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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Author information

Authors and Affiliations

  1. Instituto de Matemática e Estatística, Universidade de São Paulo, Ag. Iguatemi, C. Postal 20570, São Paulo, SP, Brasil

    Roberto H. Schonmann

  2. IMPA-Estrada Dona Castorina 110, Jardim Botânico, 20460, Rio de Janeiro, RJ, Brasil

    Maria Eulália Vares

Authors
  1. Roberto H. Schonmann
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  2. Maria Eulália Vares
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Cite this article

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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  • Received: 29 April 1985

  • Issue Date: June 1986

  • DOI: https://doi.org/10.1007/BF00334192

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Keywords

  • Stochastic Process
  • Probability Theory
  • Statistical Theory
  • Invariant Measure
  • Product Form
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