Conditional decoupling of random interlacements
classification
🧮 math.PR
keywords
conditionalinterlacementsrandomdecouplingballconfigurationdifferdimension
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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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