LYM-Related AZ-Identities, Antichain Splittings and Correlation Inequalities

2008 ◽  
pp. 151-197
Keyword(s):  
Correlation Inequalities

scholarly journals Correlation Inequalities for Spin Glasses

2007 ◽  
Vol 8 (8) ◽  
pp. 1461-1467 ◽  
Author(s):  
Pierluigi Contucci ◽  
Joel Lebowitz
Keyword(s):  
Spin Glasses ◽  
Correlation Inequalities

Correlation inequalities and the mass gap inP (φ)2

1975 ◽  
Vol 41 (1) ◽  
pp. 19-32 ◽  
Author(s):  
Francesco Guerra ◽  
Lon Rosen ◽  
Barry Simon
Keyword(s):  
Correlation Inequalities ◽  
Mass Gap

Correlation inequalities for some classical spin vector models

1975 ◽  
Vol 54 (6) ◽  
pp. 428-430 ◽  
Author(s):  
H. Kunz ◽  
Ch.-Ed. Pfister ◽  
P.-A. Vuillermot
Keyword(s):  
Correlation Inequalities ◽  
Spin Vector ◽  
Classical Spin

Some correlation inequalities in finite posets

Order ◽  
1985 ◽  
Vol 2 (4) ◽  
pp. 387-402 ◽  
Author(s):  
Graham R. Brightwell
Keyword(s):  
Correlation Inequalities ◽  
Finite Posets

Comment on “Correlation Inequalities and Hidden Variables”

1996 ◽  
Vol 76 (12) ◽  
pp. 2196-2196 ◽  
Author(s):  
P. Horodecki ◽  
R. Horodecki
Keyword(s):  
Hidden Variables ◽  
Correlation Inequalities

scholarly journals Chvátal's conjecture and correlation inequalities

2018 ◽  
Vol 156 ◽  
pp. 22-43
Author(s):  
Ehud Friedgut ◽  
Jeff Kahn ◽  
Gil Kalai ◽  
Nathan Keller
Keyword(s):  
Correlation Inequalities

scholarly journals A combinatorial approach to correlation inequalities

2002 ◽  
Vol 257 (2-3) ◽  
pp. 311-327 ◽  
Author(s):  
Graham R. Brightwell ◽  
William T. Trotter
Keyword(s):  
Correlation Inequalities ◽  
Combinatorial Approach

scholarly journals Correlation inequalities for the Potts model

2016 ◽  
Vol 4 (3-4) ◽  
pp. 327-334 ◽  
Author(s):  
Geoffrey Grimmett
Keyword(s):  
Potts Model ◽  
Correlation Inequalities

On Gaussian Correlation Inequalities for Rectangles and Symmetric Sets

2002 ◽  
Vol 53 (3-4) ◽  
pp. 245-248
Author(s):  
Subir K. Bhandari ◽  
Ayanendranath Basu
Keyword(s):  
Recent Result ◽  
Convex Sets ◽  
Convex Set ◽  
Correlation Inequalities ◽  
The Other ◽  
Symmetric Convex ◽  
Complete Proof ◽  
Other Hand

Pitt's conjecture (1977) that P( A ∩ B) ≥ P( A) P( B) under the Nn (0, In) distribution of X, where A, B are symmetric convex sets in IRn still lacks a complete proof. This note establishes that the above result is true when A is a symmetric rectangle while B is any symmetric convex set, where A, B ∈ IRn. We give two different proofs of the result, the key component in the first one being a recent result by Hargé (1999). The second proof, on the other hand, is based on a rather old result of Šidák (1968), dating back a period before Pitt's conjecture.

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