Abstract
This note investigates cover levels of finite sets in the random interlacements model introduced in [Ann. of Math. (2) 171 (2010) 2039–2087], that is, the least level such that the set is completely contained in the random interlacement at that level. It proves that as the cardinality of a set goes to infinity, the rescaled and recentered cover level tends in distribution to the Gumbel distribution with cumulative distribution function exp(−exp(−z)).
Citation
David Belius. "Cover levels and random interlacements." Ann. Appl. Probab. 22 (2) 522 - 540, April 2012. https://doi.org/10.1214/11-AAP770
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