On the Connection Between Oriented Percolation and Contact Process

M. V. Menshikov (), S. Yu. Popov and V. V. Sisko
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M. V. Menshikov: University of Durham
S. Yu. Popov: University of São Paulo
V. V. Sisko: University of São Paulo

Journal of Theoretical Probability, 2002, vol. 15, issue 1, 207-221

Abstract: Abstract We study the contact process in $${\mathbb{Z}}$$ d and a family of two-parametric oriented percolation models in $${\mathbb{Z}}$$ d × $${\mathbb{Z}}$$ +. It is proved that the derivative at the endpoint of the critical curve for percolation exists and its absolute value coincides with the critical rate for the corresponding contact process.

Keywords: oriented percolation; contact process; critical curve; differentiability (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1013847619585

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