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arXiv · 1208.4152

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

Huili Liu·Xiaowen Zhou
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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. 2012-08-21. The compact support property for the $\Lambda$-Fleming-Viot process with underlying Brownian motion. https://arxiv.org/abs/1208.4152

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