A $q$-analogue of the FKG inequality and some applications

Anders Björner

Let $L$ be a finite distributive lattice and $\mu :L\to {\mathbb{R}}^{+}$ a log-supermodular function. For functions $k:L\to {\mathbb{R}}^{+}$ let $$E_μ (k; q) \defeq \sum_{x\in L}…