The van den Berg--Kesten--Reimer operator and inequality for infinite spaces
Probability
2017-09-26 v3
Abstract
We remove the hypothesis " is finite" from the BKR inequality for product measures on , which raises some issues related to descriptive set theory. We also discuss the extension of the BKR operator and inequality, from 2 events to 2 or more events, and we remove, in one sense, the hypothesis that be finite.
Keywords
Cite
@article{arxiv.1508.05337,
title = {The van den Berg--Kesten--Reimer operator and inequality for infinite spaces},
author = {Richard Arratia and Skip Garibaldi and Alfred W. Hales},
journal= {arXiv preprint arXiv:1508.05337},
year = {2017}
}
Comments
15 pages