Conditional decoupling of random interlacements

Published 14 Aug 2015 in math.PR | (1508.03405v3)

Abstract: We prove a conditional decoupling inequality for the model of random interlacements in dimension $d\geq 3$: the conditional law of random interlacements on a box (or a ball) $A_1$ given the (not very "bad") configuration on a "distant" set $A_2$ does not differ a lot from the unconditional law.

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