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2015 Subcritical contact process seen from the edge: convergence to quasi-equilibrium
Enrique Andjel, François Ezanno, Pablo Groisman, Leonardo Rolla
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Electron. J. Probab. 20: 1-16 (2015). DOI: 10.1214/EJP.v20-3881

Abstract

The subcritical contact process seen from the rightmost infected site has no invariant measures. We prove that nevertheless it converges in distribution to a quasi-stationary measure supported on finite configurations.

Citation

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Enrique Andjel. François Ezanno. Pablo Groisman. Leonardo Rolla. "Subcritical contact process seen from the edge: convergence to quasi-equilibrium." Electron. J. Probab. 20 1 - 16, 2015. https://doi.org/10.1214/EJP.v20-3881

Information

Accepted: 28 March 2015; Published: 2015
First available in Project Euclid: 4 June 2016

zbMATH: 1321.60200
MathSciNet: MR3335823
Digital Object Identifier: 10.1214/EJP.v20-3881

Subjects:
Primary: 65K35

Keywords: contact process

Vol.20 • 2015
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