Open Access
2015 Random walks generated by equilibrium contact processes
Thomas Mountford, Maria Eulalia Vares
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Electron. J. Probab. 20: 1-17 (2015). DOI: 10.1214/EJP.v20-3439


We consider dynamic random walks where the nearest neighbour jump rates are determined by an underlying supercritical contact process in equilibrium. This has previously been studied by den Hollander and dos Santos (arXiv:1209.1511). We show the CLT for such a random walk, valid for all supercritical infection rates for the contact process environment.


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Thomas Mountford. Maria Eulalia Vares. "Random walks generated by equilibrium contact processes." Electron. J. Probab. 20 1 - 17, 2015.


Accepted: 13 January 2015; Published: 2015
First available in Project Euclid: 4 June 2016

zbMATH: 1325.60161
MathSciNet: MR3311216
Digital Object Identifier: 10.1214/EJP.v20-3439

Primary: 60K35
Secondary: 60K37 , 82C22

Keywords: central limit theorem , contact process , Dynamic random environment , interacting particle systems , metastability

Vol.20 • 2015
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