English

A strong FKG inequality for multiple events

Probability 2023-05-05 v1 Combinatorics

Abstract

We give an extension of the FKG inequality to the case of multiple events with equal pairwise intersections. We then apply this inequality to resolve Kahn's question on positive associated (PA) measures.

Cite

@article{arxiv.2305.02653,
  title  = {A strong FKG inequality for multiple events},
  author = {Nikita Gladkov},
  journal= {arXiv preprint arXiv:2305.02653},
  year   = {2023}
}

Comments

7 pages, 2 figures

R2 v1 2026-06-28T10:25:25.207Z