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2012 The compact support property for the $\Lambda$-Fleming-Viot process with underlying Brownian motion
Huili Liu, Xiaowen Zhou
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Electron. J. Probab. 17: 1-20 (2012). DOI: 10.1214/EJP.v17-1928

Abstract

Using the lookdown construction of Donnelly and Kurtz we prove that, at any fixed positive time, the $\Lambda$-Fleming-Viot process with underlying Brownian motion has a compact support provided that the corresponding $\Lambda$-coalescent comes down from infinity not too slowly. We also find both upper bound and lower bound on the Hausdorff dimension for the support.

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Huili Liu. Xiaowen Zhou. "The compact support property for the $\Lambda$-Fleming-Viot process with underlying Brownian motion." Electron. J. Probab. 17 1 - 20, 2012. https://doi.org/10.1214/EJP.v17-1928

Information

Accepted: 31 August 2012; Published: 2012
First available in Project Euclid: 4 June 2016

zbMATH: 1260.60098
MathSciNet: MR2968680
Digital Object Identifier: 10.1214/EJP.v17-1928

Subjects:
Primary: 60G57
Secondary: 60G17, 60J80

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