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

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.

arXiv comment21 pages

References in corpus (1)

• A modified lookdown construction for the Xi-Fleming-Viot process with mutation and populations with recurrent bottlenecks