Journal of Applied Probability

The entirely coupled region of supercritical contact processes

Achillefs Tzioufas

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Abstract

We consider translation-invariant, finite-range, supercritical contact processes. We show the existence of unbounded space-time cones within which the descendancy of the process from full occupancy may with positive probability be identical to that of the process from the single site at its apex. The proof comprises an argument that leans upon refinements of a successful coupling among these two processes, and is valid in d-dimensions.

Article information

Source
J. Appl. Probab., Volume 53, Number 3 (2016), 925-929.

Dates
First available in Project Euclid: 13 October 2016

Permanent link to this document
https://projecteuclid.org/euclid.jap/1476370786

Mathematical Reviews number (MathSciNet)
MR3570104

Zentralblatt MATH identifier
1351.60131

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 82843 82C43: Time-dependent percolation [See also 60K35]

Keywords
Contact processes asymptotic shape theorem coupling finite range coupling event coupling time

Citation

Tzioufas, Achillefs. The entirely coupled region of supercritical contact processes. J. Appl. Probab. 53 (2016), no. 3, 925--929. https://projecteuclid.org/euclid.jap/1476370786


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