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The compact support property for the $\Lambda$-Fleming-Viot process with underlying Brownian motion

Title:

The compact support property for the $\Lambda$-Fleming-Viot process with underlying Brownian motion

Liu, Huili and Zhou, Xiaowen (2012) The compact support property for the $\Lambda$-Fleming-Viot process with underlying Brownian motion. Electronic Journal of Probability, 17 . ISSN 1083-6489

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Official URL: http://dx.doi.org/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.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Article
Refereed:Yes
Authors:Liu, Huili and Zhou, Xiaowen
Journal or Publication:Electronic Journal of Probability
Date:2012
Digital Object Identifier (DOI):10.1214/EJP.v17-1928
ID Code:976832
Deposited By: DANIELLE DENNIE
Deposited On:29 Jan 2013 14:45
Last Modified:18 Jan 2018 17:43

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