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On criteria of disconnectedness of $\Lambda$-Fleming-Viot support

   
@article{ECP3208,
	author = {Xiaowen Zhou},
	title = {On criteria of disconnectedness of $\Lambda$-Fleming-Viot support},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {19},
	year = {2014},
	keywords = {superprocess; \$\La\$-Fleming-Viot process},
	abstract = {The totally disconnectedness of support for super Brownian motion in high dimensions is well known. In this paper, we prove that similar results also hold for $\Lambda$-Fleming-Viot process with Brownian spatial motion provided that the associated $\Lambda$-coalescent does not come down from infinity fast enough. Our proof is another application of the lookdown particle representation for $\Lambda$-Fleming-Viot process. We also discuss the disjointness of independent $\Lambda$-Fleming-Viot supports and ranges in high dimensions. The disconnectedness of the $\Lambda$-Fleming-Viot support remains open in certain low dimensions.},
	pages = {no. 53, 1-16},
	issn = {1083-589X},
	doi = {10.1214/ECP.v19-3208},    
        url = {http://ecp.ejpecp.org/article/view/3208}}