Conditional decoupling of random interlacements

Abstract

We prove a conditional decoupling inequality for the model of random interlacements in dimension $d\ge 3$: 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.

References in corpus (2)

• On decoupling inequalities and percolation of excursion sets of the Gaussian free field
• Biased random walk on the interlacement set

Cited by in corpus (4)

• Biased random walk on the interlacement set
• Phase transition for level-set percolation of the membrane model in dimensions $d\ge 5$
• First passage percolation, local uniqueness for interlacements and capacity of random walk
• An improved decoupling inequality for random interlacements