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arXiv · 1508.03405

Conditional decoupling of random interlacements

Caio Alves·Serguei Popov
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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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Caio Alves, Serguei Popov. 2015-08-14. Conditional decoupling of random interlacements. https://doi.org/10.30757/alea.v15-38

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