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arXiv · 1508.05337

The van den Berg--Kesten--Reimer operator and inequality for infinite spaces

Richard Arratia·Skip Garibaldi·Alfred W. Hales
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Abstract

We remove the hypothesis "$S$ is finite" from the BKR inequality for product measures on $S^d$, 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 $d$ be finite.

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Richard Arratia, Skip Garibaldi, Alfred W. Hales. 2015-09-07. The van den Berg--Kesten--Reimer operator and inequality for infinite spaces. https://doi.org/10.3150/16-bej883

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