English

Conditional decoupling of random interlacements

Probability 2019-05-28 v3

Abstract

We prove a conditional decoupling inequality for the model of random interlacements in dimension d3d\geq 3: the conditional law of random interlacements on a box (or a ball) A1A_1 given the (not very "bad") configuration on a "distant" set A2A_2 does not differ a lot from the unconditional law.

Cite

@article{arxiv.1508.03405,
  title  = {Conditional decoupling of random interlacements},
  author = {Caio Alves and Serguei Popov},
  journal= {arXiv preprint arXiv:1508.03405},
  year   = {2019}
}
R2 v1 2026-06-22T10:33:30.967Z