L-log-concavity and a proof of the conjecture of Lam, Postnikov and Pylyavskyy

arXiv (Cornell University) 2026 Preprint Open access

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Authors: David E Speyer
Cited by: 0

Abstract

Let $λ$, $μ$, $λ'$, $μ'$ be partitions. The conjecture of Lam, Postnikov and Pylyavskyy states that, if $λ+μ= λ' + μ'$, and $\min(λ_i-λ_j, μ_i-μ_j) \leq λ'_i - λ'_j \leq \max(λ_i-λ_j, μ_i-μ_j)$ for all $1 \leq i

Fields of Study & Subjects

Advanced Combinatorial Mathematics Advanced Mathematical Identities Mathematical Inequalities and Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
8 January 2026
Document type
Preprint