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

Huili Liu (Concordia University)
Xiaowen Zhou (Concordia University)

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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Pages: 1-20

Publication Date: August 31, 2012

DOI: 10.1214/EJP.v17-1928

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