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COMBINATORICA
2011

A q-analogue of the FKG inequality and some applications

9 years 10 months ago
A q-analogue of the FKG inequality and some applications
Let L be a finite distributive lattice and µ : L → R+ a logsupermodular function. For functions k : L → R+ let Eµ(k; q) def = x∈L k(x)µ(x)qrank(x) ∈ R+ [q]. We prove for any pair g, h : L → R+ of monotonely increasing functions, that Eµ(g; q) · Eµ(h; q) Eµ(1; q) · Eµ(gh; q), where “ ” denotes coefficientwise inequality of real polynomials. The FKG inequality of Fortuin, Kasteleyn and Ginibre (1971) is the real number in
Anders Björner
Added 18 Dec 2011
Updated 18 Dec 2011
Type Journal
Year 2011
Where COMBINATORICA
Authors Anders Björner
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