Correlation inequalities and a conjecture for permanents

Yosef Rinott; Michael Saks

doi:10.1007/BF01202353

Correlation inequalities and a conjecture for permanents

Yosef Rinott
, Michael Saks

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

This paper presents conditions on nonnegative real valued functions f₁, f₂,..., f_m and g₁, g₂,... g_m implying an inequality of the type {Mathematical expression} This "2m-function" theorem generalizes the "4-function" theorem of [2], which in turn generalizes a "2-function" theorem ([8]) and the celebrated FKG inequality. It also contains (and was partly inspired by) an "m against 2" inequality that was deduced in [5] from a general product theorem.

Original language	English (US)
Pages (from-to)	269-277
Number of pages	9
Journal	Combinatorica
Volume	13
Issue number	3
DOIs	https://doi.org/10.1007/BF01202353
State	Published - Sep 1993

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Computational Mathematics

Keywords

AMS subject classification code (1991): 60C05, 60E15, 06D99, 05D99, 06A07

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10.1007/BF01202353

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title = "Correlation inequalities and a conjecture for permanents",

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T1 - Correlation inequalities and a conjecture for permanents

AU - Rinott, Yosef

AU - Saks, Michael

PY - 1993/9

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N2 - This paper presents conditions on nonnegative real valued functions f1, f2,..., fm and g1, g2,... gm implying an inequality of the type {Mathematical expression} This "2m-function" theorem generalizes the "4-function" theorem of [2], which in turn generalizes a "2-function" theorem ([8]) and the celebrated FKG inequality. It also contains (and was partly inspired by) an "m against 2" inequality that was deduced in [5] from a general product theorem.

AB - This paper presents conditions on nonnegative real valued functions f1, f2,..., fm and g1, g2,... gm implying an inequality of the type {Mathematical expression} This "2m-function" theorem generalizes the "4-function" theorem of [2], which in turn generalizes a "2-function" theorem ([8]) and the celebrated FKG inequality. It also contains (and was partly inspired by) an "m against 2" inequality that was deduced in [5] from a general product theorem.

KW - AMS subject classification code (1991): 60C05, 60E15, 06D99, 05D99, 06A07

UR - https://www.scopus.com/pages/publications/0039157010

UR - https://www.scopus.com/pages/publications/0039157010#tab=citedBy

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DO - 10.1007/BF01202353

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SN - 0209-9683

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SP - 269

EP - 277

JO - Combinatorica

JF - Combinatorica

IS - 3

ER -

Correlation inequalities and a conjecture for permanents

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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