Ahlswede–Daykin inequality
id:
ahlswede-daykin-inequality-256-16747941
title:
Ahlswede–Daykin inequality
text:
The Ahlswede–Daykin inequality, also known as the four functions theorem, is a correlation-type inequality for four functions on a finite distributive lattice. It is a fundamental tool in statistical mechanics and probabilistic combinatorics. The inequality states that if f 1 , f 2 , f 3 , f 4 are nonnegative functions on a finite distributive lattice such that for all x, y in the lattice, then for all subsets X, Y of the lattice, where and The Ahlswede–Daykin inequality can be used to provide a
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wiki
category slug:
encyclopedia
description:
Correlation-type inequality for four functions on a finite distributive lattice
original url:
https://en.wikipedia.org/wiki/Ahlswede%E2%80%93Daykin_inequality
date created:
date modified:
2023-08-16T16:04:40Z
main entity:
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fields total:
13
integrity:
14