期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2018
卷号：XV
期号：2
页码：1027-1063
DOI：10.30757/ALEA.v15-38
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We prove a conditional decoupling inequality for the model of randominterlacements in dimension d ≥ 3: the conditional law of random interlacementson a box (or a ball) A1 given the (not very “bad”) configuration on a “distant” setA2 does not differ a lot from the unconditional law. The main method we use is asuitable modification of the soft local time method of Popov and Teixeira (2015),that allows dealing with conditional probabilities.
关键词：Random interlacements; stochastic domination; soft local time
