Higher correlation inequalities

Siddhartha Sahi

doi:10.1007/s00493-008-2249-5

Higher correlation inequalities

Siddhartha Sahi

School of Arts and Sciences, Mathematics

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

5 Scopus citations

Abstract

We prove a correlation inequality for n increasing functions on a distributive lattice, which for n = 2 reduces to a special case of the FKG inequality. The key new idea is to reformulate the inequalities for all n into a single positivity statement in the ring of formal power series. We also conjecture that our results hold in greater generality.

Original language	English (US)
Pages (from-to)	209-227
Number of pages	19
Journal	Combinatorica
Volume	28
Issue number	2
DOIs	https://doi.org/10.1007/s00493-008-2249-5
State	Published - Mar 2008

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics
Computational Mathematics

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10.1007/s00493-008-2249-5

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title = "Higher correlation inequalities",

abstract = "We prove a correlation inequality for n increasing functions on a distributive lattice, which for n = 2 reduces to a special case of the FKG inequality. The key new idea is to reformulate the inequalities for all n into a single positivity statement in the ring of formal power series. We also conjecture that our results hold in greater generality.",

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AB - We prove a correlation inequality for n increasing functions on a distributive lattice, which for n = 2 reduces to a special case of the FKG inequality. The key new idea is to reformulate the inequalities for all n into a single positivity statement in the ring of formal power series. We also conjecture that our results hold in greater generality.

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Higher correlation inequalities

Abstract

All Science Journal Classification (ASJC) codes

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