A q-analogue of the FKG inequality and some applications |
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| Authors: | Anders Bj?rner |
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| Institution: | 1. Institut Mittag-Leffler, Aurav?gen 17, S-182 60, Djursholm, Sweden
2. Kungl. Tekniska H?gskolan, Matematiska Inst., S-100 44, Stockholm, Sweden
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| Abstract: | Let L be a finite distributive lattice and μ: L → ℝ+ a log-supermodular function. For functions k: L → ℝ+ let
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Em (k;q)def ?x ? L k(x)m(x)qrank(x) ? \mathbbR+ q] .E_\mu (k;q)^{\underline{\underline {def}} } \sum\limits_{x \in L} {k(x)\mu (x)q^{rank(x)} \in \mathbb{R}^ + q]} . |
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