The entirely coupled region of supercritical contact processes
| Autor: | Achillefs Tzioufas |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
82C43 General Mathematics Contact processes Finite range 01 natural sciences 010104 statistics & probability Single site FOS: Mathematics 0101 mathematics coupling coupling time Positive probability Mathematics finite range 010102 general mathematics Probability (math.PR) Process (computing) Mechanics Coupling (probability) Supercritical fluid asymptotic shape theorem 60K35 coupling event Statistics Probability and Uncertainty Mathematics - Probability |
| Zdroj: | J. Appl. Probab. 53, no. 3 (2016), 925-929 |
| Popis: | 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. Comment: Accepted for publication from the Applied Probability Trust; extended result; titled changed |
| Databáze: | OpenAIRE |
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