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arXiv · 2606.06688

Correlation inequalities for Schur positivity

Swee Hong Chan·Hong Chen·Igor Pak·Daniel Soskin
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Abstract

We generalize the Ahlswede--Daykin inequality (1978) to a Schur positive \emph{ADS inequality}, which also contains the Lam--Postnikov--Pylyavskyy inequality (2007) as a special case. We then present a number of further generalizations and applications. Notably, we resolve Mihalcea's conjecture on log-supermodularity of stable Grothendieck polynomials.

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Swee Hong Chan, Hong Chen, Igor Pak, Daniel Soskin. 2026-06-04. Correlation inequalities for Schur positivity. https://arxiv.org/abs/2606.06688

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