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

   
@article{EJP1928,
	author = {Huili Liu and Xiaowen Zhou},
	title = {The compact support property for the $\Lambda$-Fleming-Viot process with  underlying Brownian motion},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {17},
	year = {2012},
	keywords = {\$\Lambda\$-Fleming-Viot process ;  \$\Lambda\$-coalescent ; compact support property ; lookdown construction},
	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.},
	pages = {no. 73, 1-20},
	issn = {1083-6489},
	doi = {10.1214/EJP.v17-1928},    
        url = {http://ejp.ejpecp.org/article/view/1928}}