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A q-analogue of the four functions theorem

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arxiv 0909.5137 v1 pith:GLXD3KBO submitted 2009-09-28 math.CO math.PR

Demetres Christofides This is my paper · ORCID
classification math.COmath.PR
keywords fourfunctionsq-analoguetheorembjorneranaloguearticlecases
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In this article we give a proof of a q-analogue of the celebrated four functions theorem. This analogue was conjectured by Bjorner and includes as special cases both the four functions theorem and also Bjorner's q-analogue of the FKG inequality.

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  1. Correlation inequalities for Schur positivity

    math.CO 2026-06 unverdicted novelty 7.0 of 10

    Generalizes Ahlswede-Daykin inequality to Schur-positive ADS inequality and resolves Mihalcea's conjecture on log-supermodularity of stable Grothendieck polynomials.

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