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2015 Continuity of the asymptotic shape of the supercritical contact process
Olivier Garet, Regine Marchand, Marie Théret
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Electron. Commun. Probab. 20: 1-11 (2015). DOI: 10.1214/ECP.v20-4103

Abstract

We prove the continuity of the shape governing the asymptotic growth of the supercritical contact process in $\mathbb{Z}^d$, with respect to the infection parameter. The proof is valid in any dimension $d \ge 1$.

Citation

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Olivier Garet. Regine Marchand. Marie Théret. "Continuity of the asymptotic shape of the supercritical contact process." Electron. Commun. Probab. 20 1 - 11, 2015. https://doi.org/10.1214/ECP.v20-4103

Information

Accepted: 13 December 2015; Published: 2015
First available in Project Euclid: 7 June 2016

zbMATH: 1332.60135
MathSciNet: MR3434209
Digital Object Identifier: 10.1214/ECP.v20-4103

Subjects:
Primary: 60K35
Secondary: 82B43

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