An Extension of Kuczek's Argument to Nonnearest Neighbor Contact Processes

Thomas S. Mountford and Ted D. Sweet
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Thomas S. Mountford: University of California
Ted D. Sweet: University of California

Journal of Theoretical Probability, 2000, vol. 13, issue 4, 1061-1081

Abstract: Abstract The right edge of a nearest neighbor supercritical contact process satisfies a central limit theorem.(8, 9) In this paper, a block construction is created to extend the argument by Kuczek(9) to the nonnearest neighbor case. The proof of the following fact in the nonnearest neighbor case is the key to the extension: There is a positive chance that the rightmost particle at time 0 infects the rightmost particle at every time.

Keywords: contact process; central limit theorem (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1007818108889

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